! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! Linear Algebra Data and Routines File
! 
! Generated by KPP-2.2.3 symbolic chemistry Kinetics PreProcessor
!       (http://www.cs.vt.edu/~asandu/Software/KPP)
! KPP is distributed under GPL, the general public licence
!       (http://www.gnu.org/copyleft/gpl.html)
! (C) 1995-1997, V. Damian & A. Sandu, CGRER, Univ. Iowa
! (C) 1997-2005, A. Sandu, Michigan Tech, Virginia Tech
!     With important contributions from:
!        M. Damian, Villanova University, USA
!        R. Sander, Max-Planck Institute for Chemistry, Mainz, Germany
! 
! File                 : aromatics_kpp_LinearAlgebra.f90
! Time                 : Thu Jan  7 01:55:10 2021
! Working directory    : /n/home08/kbates/Aromatics/GC_new3_chamber
! Equation file        : aromatics_kpp.kpp
! Output root filename : aromatics_kpp
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



MODULE aromatics_kpp_LinearAlgebra

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

  IMPLICIT NONE

CONTAINS


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! SPARSE_UTIL - SPARSE utility functions
!   Arguments :
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppDecomp( JVS, IER )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Sparse LU factorization
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER  :: IER
      REAL(kind=dp) :: JVS(LU_NONZERO), W(NVAR), a
      INTEGER  :: k, kk, j, jj

      a = 0. ! mz_rs_20050606
      IER = 0
      DO k=1,NVAR
        ! mz_rs_20050606: don't check if real value == 0
        ! IF ( JVS( LU_DIAG(k) ) .EQ. 0. ) THEN
        IF ( ABS(JVS(LU_DIAG(k))) < TINY(a) ) THEN
            IER = k
            RETURN
        END IF
        DO kk = LU_CROW(k), LU_CROW(k+1)-1
              W( LU_ICOL(kk) ) = JVS(kk)
        END DO
        DO kk = LU_CROW(k), LU_DIAG(k)-1
            j = LU_ICOL(kk)
            a = -W(j) / JVS( LU_DIAG(j) )
            W(j) = -a
            DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
               W( LU_ICOL(jj) ) = W( LU_ICOL(jj) ) + a*JVS(jj)
            END DO
         END DO
         DO kk = LU_CROW(k), LU_CROW(k+1)-1
            JVS(kk) = W( LU_ICOL(kk) )
         END DO
      END DO
      
END SUBROUTINE KppDecomp


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppDecompCmplx( JVS, IER )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Sparse LU factorization, complex
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER        :: IER
      DOUBLE COMPLEX :: JVS(LU_NONZERO), W(NVAR), a
      REAL(kind=dp)  :: b = 0.0
      INTEGER        :: k, kk, j, jj

      IER = 0
      DO k=1,NVAR
        IF ( ABS(JVS(LU_DIAG(k))) < TINY(b) ) THEN
            IER = k
            RETURN
        END IF
        DO kk = LU_CROW(k), LU_CROW(k+1)-1
              W( LU_ICOL(kk) ) = JVS(kk)
        END DO
        DO kk = LU_CROW(k), LU_DIAG(k)-1
            j = LU_ICOL(kk)
            a = -W(j) / JVS( LU_DIAG(j) )
            W(j) = -a
            DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
               W( LU_ICOL(jj) ) = W( LU_ICOL(jj) ) + a*JVS(jj)
            END DO
         END DO
         DO kk = LU_CROW(k), LU_CROW(k+1)-1
            JVS(kk) = W( LU_ICOL(kk) )
         END DO
      END DO
      
END SUBROUTINE KppDecompCmplx


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppDecompCmplxR( JVSR, JVSI, IER )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!    Sparse LU factorization, complex
!   (Real and Imaginary parts are used instead of complex data type)     
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER       :: IER
      REAL(kind=dp) :: JVSR(LU_NONZERO), JVSI(LU_NONZERO) 
      REAL(kind=dp) :: WR(NVAR), WI(NVAR), ar, ai, den
      INTEGER       :: k, kk, j, jj

      IER = 0
      ar  = 0.0
      DO k=1,NVAR
        IF (  ( ABS(JVSR(LU_DIAG(k))) < TINY(ar) ) .AND. &
              ( ABS(JVSI(LU_DIAG(k))) < TINY(ar) ) )  THEN
            IER = k
            RETURN
        END IF
        DO kk = LU_CROW(k), LU_CROW(k+1)-1
              WR( LU_ICOL(kk) ) = JVSR(kk)
              WI( LU_ICOL(kk) ) = JVSI(kk)
        END DO
        DO kk = LU_CROW(k), LU_DIAG(k)-1
            j = LU_ICOL(kk)
            den = JVSR(LU_DIAG(j))**2 + JVSI(LU_DIAG(j))**2
            ar = -(WR(j)*JVSR(LU_DIAG(j)) + WI(j)*JVSI(LU_DIAG(j)))/den
            ai = -(WI(j)*JVSR(LU_DIAG(j)) - WR(j)*JVSI(LU_DIAG(j)))/den
            WR(j) = -ar
            WI(j) = -ai
            DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
               WR( LU_ICOL(jj) ) = WR( LU_ICOL(jj) ) + ar*JVSR(jj) - ai*JVSI(jj)
               WI( LU_ICOL(jj) ) = WI( LU_ICOL(jj) ) + ar*JVSI(jj) + ai*JVSR(jj)
            END DO
         END DO
         DO kk = LU_CROW(k), LU_CROW(k+1)-1
            JVSR(kk) = WR( LU_ICOL(kk) )
            JVSI(kk) = WI( LU_ICOL(kk) )
         END DO
      END DO

END SUBROUTINE KppDecompCmplxR


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveIndirect( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Sparse solve subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER  :: i, j
      REAL(kind=dp) :: JVS(LU_NONZERO), X(NVAR), sum

      DO i=1,NVAR
         DO j = LU_CROW(i), LU_DIAG(i)-1 
             X(i) = X(i) - JVS(j)*X(LU_ICOL(j));
         END DO  
      END DO

      DO i=NVAR,1,-1
        sum = X(i);
        DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
          sum = sum - JVS(j)*X(LU_ICOL(j));
        END DO
        X(i) = sum/JVS(LU_DIAG(i));
      END DO
      
END SUBROUTINE KppSolveIndirect


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveTRIndirect( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Complex sparse solve transpose subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER       :: i, j
      REAL(kind=dp) :: JVS(LU_NONZERO), X(NVAR)

      DO i=1,NVAR
        X(i) = X(i)/JVS(LU_DIAG(i))
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
	  X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
	END DO
      END DO

      DO i=NVAR, 1, -1
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_CROW(i),LU_DIAG(i)-1
	  X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
	END DO
      END DO
      
END SUBROUTINE KppSolveTRIndirect


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveCmplx( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Complex sparse solve subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER        :: i, j
      DOUBLE COMPLEX :: JVS(LU_NONZERO), X(NVAR), sum

      DO i=1,NVAR
         DO j = LU_CROW(i), LU_DIAG(i)-1 
             X(i) = X(i) - JVS(j)*X(LU_ICOL(j));
         END DO  
      END DO

      DO i=NVAR,1,-1
        sum = X(i);
        DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
          sum = sum - JVS(j)*X(LU_ICOL(j));
        END DO
        X(i) = sum/JVS(LU_DIAG(i));
      END DO
      
END SUBROUTINE KppSolveCmplx

! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveCmplxR( JVSR, JVSI, XR, XI )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!   Complex sparse solve subroutine using indirect addressing
!   (Real and Imaginary parts are used instead of complex data type)     
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER       ::  i, j
      REAL(kind=dp) ::  JVSR(LU_NONZERO), JVSI(LU_NONZERO), XR(NVAR), XI(NVAR), sumr, sumi, den

      DO i=1,NVAR
         DO j = LU_CROW(i), LU_DIAG(i)-1 
             XR(i) = XR(i) - (JVSR(j)*XR(LU_ICOL(j)) - JVSI(j)*XI(LU_ICOL(j)))
             XI(i) = XI(i) - (JVSR(j)*XI(LU_ICOL(j)) + JVSI(j)*XR(LU_ICOL(j)))
         END DO  
      END DO

      DO i=NVAR,1,-1
        sumr = XR(i); sumi = XI(i)
        DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
            sumr = sumr - (JVSR(j)*XR(LU_ICOL(j)) - JVSI(j)*XI(LU_ICOL(j)))
            sumi = sumi - (JVSR(j)*XI(LU_ICOL(j)) + JVSI(j)*XR(LU_ICOL(j)))
        END DO
        den   = JVSR(LU_DIAG(i))**2 + JVSI(LU_DIAG(i))**2
        XR(i) = (sumr*JVSR(LU_DIAG(i)) + sumi*JVSI(LU_DIAG(i)))/den
        XI(i) = (sumi*JVSR(LU_DIAG(i)) - sumr*JVSI(LU_DIAG(i)))/den
      END DO
      
END SUBROUTINE KppSolveCmplxR


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveTRCmplx( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Complex sparse solve transpose subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER        :: i, j
      DOUBLE COMPLEX :: JVS(LU_NONZERO), X(NVAR)

      DO i=1,NVAR
        X(i) = X(i)/JVS(LU_DIAG(i))
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
	  X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
	END DO
      END DO

      DO i=NVAR, 1, -1
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_CROW(i),LU_DIAG(i)-1
	  X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
	END DO
      END DO
      
END SUBROUTINE KppSolveTRCmplx


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveTRCmplxR( JVSR, JVSI, XR, XI )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!   Complex sparse solve transpose subroutine using indirect addressing
!   (Real and Imaginary parts are used instead of complex data type)     
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER       ::  i, j
      REAL(kind=dp) ::  JVSR(LU_NONZERO), JVSI(LU_NONZERO), XR(NVAR), XI(NVAR), den

      DO i=1,NVAR
        den   = JVSR(LU_DIAG(i))**2 + JVSI(LU_DIAG(i))**2
        XR(i) = (XR(i)*JVSR(LU_DIAG(i)) + XI(i)*JVSI(LU_DIAG(i)))/den
        XI(i) = (XI(i)*JVSR(LU_DIAG(i)) - XR(i)*JVSI(LU_DIAG(i)))/den
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
	  XR(LU_ICOL(j)) = XR(LU_ICOL(j))-(JVSR(j)*XR(i) - JVSI(j)*XI(i))
	  XI(LU_ICOL(j)) = XI(LU_ICOL(j))-(JVSI(j)*XR(i) + JVSR(j)*XI(i))
	END DO
      END DO

      DO i=NVAR, 1, -1
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_CROW(i),LU_DIAG(i)-1
	  XR(LU_ICOL(j)) = XR(LU_ICOL(j))-(JVSR(j)*XR(i) - JVSI(j)*XI(i))
	  XI(LU_ICOL(j)) = XI(LU_ICOL(j))-(JVSI(j)*XR(i) + JVSR(j)*XI(i))
	END DO
      END DO
      
END SUBROUTINE KppSolveTRCmplxR


!
! Next few commented subroutines perform sparse big linear algebra
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE KppDecompBig( JVS, IP, IER )
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!        Sparse LU factorization
!!        for the Runge Kutta (3n)x(3n) linear system
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
!  USE aromatics_kpp_Parameters
!  USE aromatics_kpp_JacobianSP
!
!      INTEGER  :: IP3(3), IER, IP(3,NVAR)
!      REAL(kind=dp) :: JVS(3,3,LU_NONZERO), W(3,3,NVAR), a(3,3), E(3,3)
!      INTEGER  :: k, kk, j, jj
!
!      a = 0.0d0
!      IER = 0
!      DO k=1,NVAR
!        DO kk = LU_CROW(k), LU_CROW(k+1)-1
!              W( 1:3,1:3,LU_ICOL(kk) ) = JVS(1:3,1:3,kk)
!        END DO
!        DO kk = LU_CROW(k), LU_DIAG(k)-1
!            j = LU_ICOL(kk)
!            E(1:3,1:3) = JVS( 1:3,1:3,LU_DIAG(j) )
!            ! CALL DGETRF(3,3,E,3,IP3,IER) 
!            CALL FAC3(E,IP3,IER)
!            IF ( IER /= 0 )  RETURN
!            ! a = W(j) / JVS( LU_DIAG(j) )
!            a(1:3,1:3) = W( 1:3,1:3,j )
!            ! CALL DGETRS ('N',3,3,E,3,IP3,a,3,IER) 
!            CALL SOL3('N',E,IP3,a(1,1))
!            CALL SOL3('N',E,IP3,a(1,2))
!            CALL SOL3('N',E,IP3,a(1,3))
!            W(1:3,1:3,j) = a(1:3,1:3)
!            DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
!               W( 1:3,1:3,LU_ICOL(jj) ) = W( 1:3,1:3,LU_ICOL(jj) ) &
!                        - MATMUL( a(1:3,1:3) , JVS(1:3,1:3,jj) )
!            END DO
!         END DO
!         DO kk = LU_CROW(k), LU_CROW(k+1)-1
!            JVS(1:3,1:3,kk) = W( 1:3,1:3,LU_ICOL(kk) )
!         END DO
!      END DO
!
!      DO k=1,NVAR
!         ! CALL WGEFA(JVS(1,1,LU_DIAG(k)),3,3,IP(1,k),IER)
!         ! CALL DGETRF(3,3,JVS(1,1,LU_DIAG(k)),3,IP(1,k),IER)
!         CALL FAC3(JVS(1,1,LU_DIAG(k)),IP(1,k),IER)
!         IF ( IER /= 0 )  RETURN
!      END DO 
!      
!END SUBROUTINE KppDecompBig
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE KppSolveBig( JVS, IP, X )
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!        Sparse solve subroutine using indirect addressing
!!        for the Runge Kutta (3n)x(3n) linear system
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
!  USE aromatics_kpp_Parameters
!  USE aromatics_kpp_JacobianSP
!
!      INTEGER  :: i, j, k, m, IP3(3), IP(3,NVAR), IER
!      REAL(kind=dp) :: JVS(3,3,LU_NONZERO), X(3,NVAR), sum(3)
!
!      DO i=1,NVAR
!        DO j = LU_CROW(i), LU_DIAG(i)-1 
!          !X(1:3,i) = X(1:3,i) - MATMUL(JVS(1:3,1:3,j),X(1:3,LU_ICOL(j)));
!          DO k=1,3
!            DO m=1,3
!	       X(k,i) = X(k,i) - JVS(k,m,j)*X(m,LU_ICOL(j))
!            END DO
!          END DO
!        END DO  
!      END DO
!
!      DO i=NVAR,1,-1
!        sum(1:3) = X(1:3,i);
!        DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
!          !sum(1:3) = sum(1:3) - MATMUL(JVS(1:3,1:3,j),X(1:3,LU_ICOL(j)));
!          DO k=1,3
!            DO m=1,3
!	       sum(k) = sum(k) - JVS(k,m,j)*X(m,LU_ICOL(j))
!            END DO
!          END DO
!        END DO
!        ! X(i) = sum/JVS(LU_DIAG(i));
!        ! CALL DGETRS ('N',3,1,JVS(1:3,1:3,LU_DIAG(i)),3,IP(1,i),sum,3,0) 
!        ! CALL WGESL('N',JVS(1,1,LU_DIAG(i)),3,3,IP(1,i),sum)
!        CALL SOL3('N',JVS(1,1,LU_DIAG(i)),IP(1,i),sum)
!        X(1:3,i) = sum(1:3)
!      END DO
!      
!END SUBROUTINE KppSolveBig
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE KppSolveBigTR( JVS, IP, X )
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!        Big sparse transpose solve using indirect addressing
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
!  USE aromatics_kpp_Parameters
!  USE aromatics_kpp_JacobianSP
!
!      INTEGER       :: i, j, k, m, IP(3,NVAR)
!      REAL(kind=dp) :: JVS(3,3,LU_NONZERO), X(3,NVAR)
!
!      DO i=1,NVAR
!        ! X(i) = X(i)/JVS(LU_DIAG(i))
!        CALL SOL3('T',JVS(1,1,LU_DIAG(i)),IP(1,i),X(1,i))
!        DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
!	  !X(1:3,LU_ICOL(j)) = X(1:3,LU_ICOL(j)) &
!          !    - MATMUL( TRANSPOSE(JVS(1:3,1:3,j)), X(1:3,i) )
!          DO k=1,3
!            DO m=1,3
!	       X(k,LU_ICOL(j)) = X(k,LU_ICOL(j)) - JVS(m,k,j)*X(m,i)
!            END DO
!          END DO
!	END DO
!      END DO
!
!      DO i=NVAR, 1, -1
!        DO j=LU_CROW(i),LU_DIAG(i)-1
!	  !X(1:3,LU_ICOL(j)) = X(1:3,LU_ICOL(j)) &
!          !   - MATMUL( TRANSPOSE(JVS(1:3,1:3,j)), X(1:3,i) )
!          DO k=1,3
!            DO m=1,3
!	       X(k,LU_ICOL(j)) = X(k,LU_ICOL(j)) - JVS(m,k,j)*X(m,i)
!            END DO
!          END DO
!	END DO
!      END DO
!      
!END SUBROUTINE KppSolveBigTR
!
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE FAC3(A,IPVT,INFO)
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!     FAC3 FACTORS THE MATRIX A (3,3) BY
!!           GAUSS ELIMINATION WITH PARTIAL PIVOTING
!!     LINPACK - LIKE 
!!
!!     Remove comments to perform pivoting
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!
!      REAL(kind=dp) :: A(3,3)
!      INTEGER       :: IPVT(3),INFO
!!      INTEGER       :: L
!!      REAL(kind=dp) :: t, dmax, da, TMP(3)
!      REAL(kind=dp), PARAMETER :: ZERO = 0.0, ONE = 1.0
!
!      info = 0
!!      t = TINY(da)
!!      
!!      da = ABS(A(1,1)); L = 1
!!      IF ( ABS(A(2,1))>da ) THEN
!!        da = ABS(A(2,1)); L = 2
!!        IF ( ABS(A(3,1))>da ) THEN
!!          L = 3
!!        END IF  
!!      END IF  
!!      IPVT(1)  = L
!!      IF (L /=1 ) THEN
!!         TMP(1:3) = A(L,1:3)
!!         A(L,1:3) = A(1,1:3)
!!         A(1,1:3) = TMP(1:3)
!!      END IF
!!      IF (ABS(A(1,1)) < t) THEN
!!         info = 1
!!         return
!!      END IF   
!!
!      A(2,1) = A(2,1)/A(1,1)
!      A(2,2) = A(2,2) - A(2,1)*A(1,2)
!      A(2,3) = A(2,3) - A(2,1)*A(1,3)
!      A(3,1) = A(3,1)/A(1,1)
!      A(3,2) = A(3,2) - A(3,1)*A(1,2)
!      A(3,3) = A(3,3) - A(3,1)*A(1,3)
!      
!!      IPVT(2)  = 2
!!      IF (ABS(A(3,2))>ABS(A(2,2))) THEN
!!         IPVT(2)  = 3
!!         TMP(2:3) = A(3,2:3)
!!         A(3,2:3) = A(2,2:3)
!!         A(2,2:3) = TMP(2:3)
!!      END IF
!!      IF (ABS(A(2,2)) < t) THEN
!!         info = 1
!!         return
!!      END IF   
!!      
!      A(3,2)   = A(3,2)/A(2,2)
!      A(3,3)   = A(3,3) - A(3,2)*A(2,3)
!      IPVT(3)  = 3
!      
!END SUBROUTINE FAC3
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE SOL3(Trans,A,IPVT,b)
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!     SOL3 solves the system 3x3
!!     A * x = b  or  trans(a) * x = b
!!     using the factors computed by WGEFA.
!!
!!     Trans      = 'N'   to solve  A*x = b ,
!!                = 'T'   to solve  transpose(A)*x = b
!!     LINPACK - LIKE 
!!
!!     Remove comments to use pivoting
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
!      CHARACTER     :: Trans
!      REAL(kind=dp) :: a(3,3),b(3)
!      INTEGER       :: IPVT(3)
!!      INTEGER       :: L
!!      REAL(kind=dp) :: TMP
!      
!      SELECT CASE (Trans)
!
!      CASE ('n','N')  !  Solve  A * x = b
!
!!     Solve  L*y = b
!!         L = IPVT(1)
!!         IF (L /= 1) THEN
!!            TMP = B(1); B(1) = B(L); B(L) = TMP
!!         END IF
!         b(2) = b(2)-A(2,1)*b(1)
!         b(3) = b(3)-A(3,1)*b(1)
!         
!!         L = IPVT(2)
!!         IF (L /= 2) THEN
!!            TMP = B(2); B(2) = B(L); B(L) = TMP
!!         END IF
!         b(3) = b(3)-A(3,2)*b(2)
!
!!     Solve  U*x = y
!         b(3) = b(3)/A(3,3)
!         b(2) = (b(2)-A(2,3)*b(3))/A(2,2)
!         b(1) = (b(1)-A(1,3)*b(3)-A(1,2)*b(2))/A(1,1)
!      
!      
!      CASE ('t','T')  !  Solve transpose(A) * x = b
!
!!      Solve transpose(U)*y = b
!         b(1) = b(1)/A(1,1)
!         b(2) = (b(2)-A(1,2)*b(1))/A(2,2)
!         b(3) = (b(3)-A(1,3)*b(1)-A(2,3)*b(2))/A(3,3)
!
!!      Solve transpose(L)*x = y
!         b(2) = b(2)-A(3,2)*b(3)
!!         L = ipvt(2)
!!         IF (L /= 2) THEN
!!            TMP = B(2); B(2) = B(L); B(L) = TMP
!!         END IF
!         b(1) = b(1)-A(3,1)*b(3)-A(2,1)*b(2)
!!         L = ipvt(1)
!!         IF (L /= 1) THEN
!!            TMP = B(1); B(1) = B(L); B(L) = TMP
!!         END IF
!   
!      END SELECT
!
!END SUBROUTINE SOL3

! End of SPARSE_UTIL function
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! KppSolve - sparse back substitution
!   Arguments :
!      JVS       - sparse Jacobian of variables
!      X         - Vector for variables
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

SUBROUTINE KppSolve ( JVS, X )

! JVS - sparse Jacobian of variables
  REAL(kind=dp) :: JVS(LU_NONZERO)
! X - Vector for variables
  REAL(kind=dp) :: X(NVAR)

  X(51) = X(51)-JVS(222)*X(42)-JVS(223)*X(43)
  X(52) = X(52)-JVS(227)*X(48)
  X(56) = X(56)-JVS(250)*X(24)
  X(62) = X(62)-JVS(283)*X(42)-JVS(284)*X(43)
  X(63) = X(63)-JVS(288)*X(32)
  X(66) = X(66)-JVS(301)*X(61)
  X(73) = X(73)-JVS(335)*X(71)
  X(79) = X(79)-JVS(377)*X(62)-JVS(378)*X(63)
  X(81) = X(81)-JVS(390)*X(32)-JVS(391)*X(42)-JVS(392)*X(43)-JVS(393)*X(62)-JVS(394)*X(63)-JVS(395)*X(79)
  X(82) = X(82)-JVS(401)*X(42)-JVS(402)*X(43)-JVS(403)*X(62)
  X(86) = X(86)-JVS(425)*X(52)-JVS(426)*X(62)-JVS(427)*X(63)-JVS(428)*X(79)
  X(87) = X(87)-JVS(439)*X(46)
  X(89) = X(89)-JVS(455)*X(72)
  X(94) = X(94)-JVS(496)*X(28)
  X(95) = X(95)-JVS(503)*X(40)
  X(98) = X(98)-JVS(521)*X(39)-JVS(522)*X(48)-JVS(523)*X(51)
  X(99) = X(99)-JVS(531)*X(32)-JVS(532)*X(42)-JVS(533)*X(43)-JVS(534)*X(62)-JVS(535)*X(63)-JVS(536)*X(79)
  X(100) = X(100)-JVS(545)*X(82)-JVS(546)*X(88)-JVS(547)*X(94)
  X(103) = X(103)-JVS(590)*X(102)
  X(104) = X(104)-JVS(596)*X(35)-JVS(597)*X(36)-JVS(598)*X(51)-JVS(599)*X(62)-JVS(600)*X(63)-JVS(601)*X(79)-JVS(602)&
             &*X(89)-JVS(603)*X(92)-JVS(604)*X(97)
  X(106) = X(106)-JVS(648)*X(25)-JVS(649)*X(45)
  X(108) = X(108)-JVS(664)*X(39)-JVS(665)*X(51)-JVS(666)*X(52)-JVS(667)*X(86)-JVS(668)*X(98)
  X(109) = X(109)-JVS(677)*X(79)-JVS(678)*X(81)-JVS(679)*X(82)
  X(110) = X(110)-JVS(689)*X(97)
  X(112) = X(112)-JVS(705)*X(30)-JVS(706)*X(33)-JVS(707)*X(34)-JVS(708)*X(69)-JVS(709)*X(74)-JVS(710)*X(75)-JVS(711)&
             &*X(97)
  X(113) = X(113)-JVS(719)*X(25)-JVS(720)*X(46)
  X(114) = X(114)-JVS(729)*X(64)-JVS(730)*X(87)-JVS(731)*X(113)
  X(115) = X(115)-JVS(741)*X(26)-JVS(742)*X(32)-JVS(743)*X(42)-JVS(744)*X(43)-JVS(745)*X(61)-JVS(746)*X(63)-JVS(747)&
             &*X(65)-JVS(748)*X(66)-JVS(749)*X(81)-JVS(750)*X(92)-JVS(751)*X(107)-JVS(752)*X(111)-JVS(753)*X(112)
  X(116) = X(116)-JVS(768)*X(97)
  X(117) = X(117)-JVS(778)*X(58)-JVS(779)*X(103)
  X(118) = X(118)-JVS(789)*X(59)-JVS(790)*X(103)
  X(119) = X(119)-JVS(800)*X(77)
  X(120) = X(120)-JVS(807)*X(59)-JVS(808)*X(97)-JVS(809)*X(107)-JVS(810)*X(111)-JVS(811)*X(118)-JVS(812)*X(119)
  X(122) = X(122)-JVS(835)*X(77)-JVS(836)*X(97)-JVS(837)*X(119)
  X(124) = X(124)-JVS(852)*X(78)-JVS(853)*X(121)
  X(125) = X(125)-JVS(863)*X(36)-JVS(864)*X(50)
  X(126) = X(126)-JVS(877)*X(62)-JVS(878)*X(63)-JVS(879)*X(79)-JVS(880)*X(86)-JVS(881)*X(98)-JVS(882)*X(108)
  X(127) = X(127)-JVS(891)*X(61)-JVS(892)*X(70)-JVS(893)*X(71)-JVS(894)*X(92)-JVS(895)*X(109)-JVS(896)*X(110)-JVS(897)&
             &*X(112)-JVS(898)*X(119)-JVS(899)*X(122)-JVS(900)*X(126)
  X(129) = X(129)-JVS(925)*X(70)-JVS(926)*X(102)
  X(131) = X(131)-JVS(943)*X(71)-JVS(944)*X(74)-JVS(945)*X(75)
  X(132) = X(132)-JVS(954)*X(29)-JVS(955)*X(55)-JVS(956)*X(81)-JVS(957)*X(82)-JVS(958)*X(123)-JVS(959)*X(126)
  X(133) = X(133)-JVS(973)*X(78)-JVS(974)*X(85)-JVS(975)*X(121)
  X(134) = X(134)-JVS(986)*X(41)-JVS(987)*X(44)-JVS(988)*X(58)-JVS(989)*X(61)-JVS(990)*X(64)-JVS(991)*X(67)-JVS(992)&
             &*X(68)-JVS(993)*X(69)-JVS(994)*X(70)-JVS(995)*X(74)-JVS(996)*X(75)-JVS(997)*X(78)-JVS(998)*X(80)-JVS(999)&
             &*X(85)-JVS(1000)*X(94)-JVS(1001)*X(95)-JVS(1002)*X(96)-JVS(1003)*X(97)-JVS(1004)*X(98)-JVS(1005)*X(99)&
             &-JVS(1006)*X(101)-JVS(1007)*X(102)-JVS(1008)*X(103)-JVS(1009)*X(105)-JVS(1010)*X(106)-JVS(1011)*X(107)&
             &-JVS(1012)*X(108)-JVS(1013)*X(110)-JVS(1014)*X(111)-JVS(1015)*X(112)-JVS(1016)*X(113)-JVS(1017)*X(114)&
             &-JVS(1018)*X(115)-JVS(1019)*X(116)-JVS(1020)*X(117)-JVS(1021)*X(118)-JVS(1022)*X(119)-JVS(1023)*X(120)&
             &-JVS(1024)*X(121)-JVS(1025)*X(122)-JVS(1026)*X(123)-JVS(1027)*X(124)-JVS(1028)*X(125)-JVS(1029)*X(126)&
             &-JVS(1030)*X(127)-JVS(1031)*X(128)-JVS(1032)*X(129)-JVS(1033)*X(130)-JVS(1034)*X(131)-JVS(1035)*X(132)&
             &-JVS(1036)*X(133)
  X(136) = X(136)-JVS(1069)*X(26)-JVS(1070)*X(42)-JVS(1071)*X(43)-JVS(1072)*X(61)-JVS(1073)*X(64)-JVS(1074)*X(65)&
             &-JVS(1075)*X(66)-JVS(1076)*X(68)-JVS(1077)*X(70)-JVS(1078)*X(71)-JVS(1079)*X(82)-JVS(1080)*X(91)-JVS(1081)&
             &*X(92)-JVS(1082)*X(93)-JVS(1083)*X(94)-JVS(1084)*X(110)-JVS(1085)*X(112)-JVS(1086)*X(114)-JVS(1087)*X(116)&
             &-JVS(1088)*X(119)-JVS(1089)*X(120)-JVS(1090)*X(121)-JVS(1091)*X(122)-JVS(1092)*X(123)-JVS(1093)*X(128)&
             &-JVS(1094)*X(129)-JVS(1095)*X(130)-JVS(1096)*X(131)-JVS(1097)*X(135)
  X(137) = X(137)-JVS(1118)*X(67)-JVS(1119)*X(96)-JVS(1120)*X(102)
  X(138) = X(138)-JVS(1132)*X(69)-JVS(1133)*X(74)-JVS(1134)*X(75)-JVS(1135)*X(97)-JVS(1136)*X(130)
  X(139) = X(139)-JVS(1147)*X(58)-JVS(1148)*X(61)-JVS(1149)*X(67)-JVS(1150)*X(71)-JVS(1151)*X(73)-JVS(1152)*X(85)&
             &-JVS(1153)*X(92)-JVS(1154)*X(94)-JVS(1155)*X(95)-JVS(1156)*X(96)-JVS(1157)*X(102)-JVS(1158)*X(109)-JVS(1159)&
             &*X(112)-JVS(1160)*X(114)-JVS(1161)*X(116)-JVS(1162)*X(117)-JVS(1163)*X(119)-JVS(1164)*X(122)-JVS(1165)*X(123)&
             &-JVS(1166)*X(124)-JVS(1167)*X(126)-JVS(1168)*X(128)-JVS(1169)*X(130)-JVS(1170)*X(131)-JVS(1171)*X(133)&
             &-JVS(1172)*X(135)-JVS(1173)*X(137)-JVS(1174)*X(138)
  X(140) = X(140)-JVS(1192)*X(69)-JVS(1193)*X(74)-JVS(1194)*X(75)-JVS(1195)*X(102)
  X(141) = X(141)-JVS(1204)*X(35)-JVS(1205)*X(60)-JVS(1206)*X(82)-JVS(1207)*X(89)-JVS(1208)*X(92)-JVS(1209)*X(131)&
             &-JVS(1210)*X(138)-JVS(1211)*X(140)
  X(142) = X(142)-JVS(1222)*X(50)-JVS(1223)*X(53)-JVS(1224)*X(55)-JVS(1225)*X(58)-JVS(1226)*X(88)-JVS(1227)*X(103)&
             &-JVS(1228)*X(117)-JVS(1229)*X(118)-JVS(1230)*X(123)-JVS(1231)*X(125)-JVS(1232)*X(128)-JVS(1233)*X(130)&
             &-JVS(1234)*X(132)-JVS(1235)*X(135)-JVS(1236)*X(140)-JVS(1237)*X(141)
  X(143) = X(143)-JVS(1254)*X(84)-JVS(1255)*X(102)-JVS(1256)*X(107)-JVS(1257)*X(111)-JVS(1258)*X(135)
  X(144) = X(144)-JVS(1267)*X(77)-JVS(1268)*X(119)-JVS(1269)*X(122)-JVS(1270)*X(126)-JVS(1271)*X(130)-JVS(1272)*X(140)&
             &-JVS(1273)*X(143)
  X(145) = X(145)-JVS(1284)*X(69)-JVS(1285)*X(74)-JVS(1286)*X(75)-JVS(1287)*X(82)-JVS(1288)*X(83)-JVS(1289)*X(102)&
             &-JVS(1290)*X(140)-JVS(1291)*X(143)
  X(146) = X(146)-JVS(1302)*X(84)-JVS(1303)*X(107)-JVS(1304)*X(111)-JVS(1305)*X(121)-JVS(1306)*X(128)-JVS(1307)*X(135)&
             &-JVS(1308)*X(141)-JVS(1309)*X(143)-JVS(1310)*X(144)
  X(147) = X(147)-JVS(1322)*X(45)-JVS(1323)*X(59)-JVS(1324)*X(60)-JVS(1325)*X(77)-JVS(1326)*X(81)-JVS(1327)*X(82)&
             &-JVS(1328)*X(84)-JVS(1329)*X(89)-JVS(1330)*X(90)-JVS(1331)*X(92)-JVS(1332)*X(106)-JVS(1333)*X(107)-JVS(1334)&
             &*X(111)-JVS(1335)*X(113)-JVS(1336)*X(117)-JVS(1337)*X(118)-JVS(1338)*X(119)-JVS(1339)*X(121)-JVS(1340)*X(122)&
             &-JVS(1341)*X(124)-JVS(1342)*X(126)-JVS(1343)*X(128)-JVS(1344)*X(129)-JVS(1345)*X(130)-JVS(1346)*X(131)&
             &-JVS(1347)*X(133)-JVS(1348)*X(135)-JVS(1349)*X(137)-JVS(1350)*X(138)-JVS(1351)*X(140)-JVS(1352)*X(141)&
             &-JVS(1353)*X(143)-JVS(1354)*X(144)-JVS(1355)*X(145)-JVS(1356)*X(146)
  X(148) = X(148)-JVS(1369)*X(70)-JVS(1370)*X(72)-JVS(1371)*X(73)-JVS(1372)*X(84)-JVS(1373)*X(107)-JVS(1374)*X(111)&
             &-JVS(1375)*X(124)-JVS(1376)*X(128)-JVS(1377)*X(129)-JVS(1378)*X(131)-JVS(1379)*X(133)-JVS(1380)*X(135)&
             &-JVS(1381)*X(137)-JVS(1382)*X(138)-JVS(1383)*X(140)-JVS(1384)*X(141)-JVS(1385)*X(143)-JVS(1386)*X(144)&
             &-JVS(1387)*X(145)-JVS(1388)*X(146)
  X(149) = X(149)-JVS(1400)*X(27)-JVS(1401)*X(35)-JVS(1402)*X(36)-JVS(1403)*X(41)-JVS(1404)*X(49)-JVS(1405)*X(51)&
             &-JVS(1406)*X(54)-JVS(1407)*X(56)-JVS(1408)*X(62)-JVS(1409)*X(63)-JVS(1410)*X(79)-JVS(1411)*X(83)-JVS(1412)&
             &*X(85)-JVS(1413)*X(88)-JVS(1414)*X(91)-JVS(1415)*X(93)-JVS(1416)*X(94)-JVS(1417)*X(95)-JVS(1418)*X(96)&
             &-JVS(1419)*X(99)-JVS(1420)*X(101)-JVS(1421)*X(102)-JVS(1422)*X(103)-JVS(1423)*X(104)-JVS(1424)*X(108)&
             &-JVS(1425)*X(109)-JVS(1426)*X(110)-JVS(1427)*X(111)-JVS(1428)*X(115)-JVS(1429)*X(116)-JVS(1430)*X(119)&
             &-JVS(1431)*X(122)-JVS(1432)*X(123)-JVS(1433)*X(124)-JVS(1434)*X(126)-JVS(1435)*X(127)-JVS(1436)*X(129)&
             &-JVS(1437)*X(130)-JVS(1438)*X(131)-JVS(1439)*X(133)-JVS(1440)*X(134)-JVS(1441)*X(135)-JVS(1442)*X(136)&
             &-JVS(1443)*X(137)-JVS(1444)*X(138)-JVS(1445)*X(139)-JVS(1446)*X(140)-JVS(1447)*X(141)-JVS(1448)*X(142)&
             &-JVS(1449)*X(143)-JVS(1450)*X(144)-JVS(1451)*X(145)-JVS(1452)*X(146)-JVS(1453)*X(147)-JVS(1454)*X(148)
  X(150) = X(150)-JVS(1465)*X(32)-JVS(1466)*X(42)-JVS(1467)*X(43)-JVS(1468)*X(51)-JVS(1469)*X(61)-JVS(1470)*X(65)&
             &-JVS(1471)*X(67)-JVS(1472)*X(68)-JVS(1473)*X(71)-JVS(1474)*X(73)-JVS(1475)*X(80)-JVS(1476)*X(81)-JVS(1477)&
             &*X(82)-JVS(1478)*X(83)-JVS(1479)*X(85)-JVS(1480)*X(87)-JVS(1481)*X(88)-JVS(1482)*X(91)-JVS(1483)*X(93)&
             &-JVS(1484)*X(95)-JVS(1485)*X(96)-JVS(1486)*X(97)-JVS(1487)*X(101)-JVS(1488)*X(102)-JVS(1489)*X(103)-JVS(1490)&
             &*X(109)-JVS(1491)*X(112)-JVS(1492)*X(113)-JVS(1493)*X(115)-JVS(1494)*X(116)-JVS(1495)*X(119)-JVS(1496)*X(120)&
             &-JVS(1497)*X(121)-JVS(1498)*X(122)-JVS(1499)*X(123)-JVS(1500)*X(126)-JVS(1501)*X(127)-JVS(1502)*X(129)&
             &-JVS(1503)*X(130)-JVS(1504)*X(131)-JVS(1505)*X(133)-JVS(1506)*X(134)-JVS(1507)*X(135)-JVS(1508)*X(136)&
             &-JVS(1509)*X(137)-JVS(1510)*X(138)-JVS(1511)*X(139)-JVS(1512)*X(140)-JVS(1513)*X(141)-JVS(1514)*X(142)&
             &-JVS(1515)*X(143)-JVS(1516)*X(144)-JVS(1517)*X(145)-JVS(1518)*X(146)-JVS(1519)*X(147)-JVS(1520)*X(148)&
             &-JVS(1521)*X(149)
  X(151) = X(151)-JVS(1531)*X(38)-JVS(1532)*X(54)-JVS(1533)*X(61)-JVS(1534)*X(64)-JVS(1535)*X(68)-JVS(1536)*X(70)&
             &-JVS(1537)*X(78)-JVS(1538)*X(85)-JVS(1539)*X(87)-JVS(1540)*X(93)-JVS(1541)*X(95)-JVS(1542)*X(99)-JVS(1543)&
             &*X(102)-JVS(1544)*X(106)-JVS(1545)*X(110)-JVS(1546)*X(112)-JVS(1547)*X(113)-JVS(1548)*X(114)-JVS(1549)*X(117)&
             &-JVS(1550)*X(118)-JVS(1551)*X(119)-JVS(1552)*X(121)-JVS(1553)*X(122)-JVS(1554)*X(123)-JVS(1555)*X(124)&
             &-JVS(1556)*X(125)-JVS(1557)*X(128)-JVS(1558)*X(129)-JVS(1559)*X(130)-JVS(1560)*X(131)-JVS(1561)*X(132)&
             &-JVS(1562)*X(133)-JVS(1563)*X(135)-JVS(1564)*X(136)-JVS(1565)*X(137)-JVS(1566)*X(138)-JVS(1567)*X(139)&
             &-JVS(1568)*X(140)-JVS(1569)*X(141)-JVS(1570)*X(142)-JVS(1571)*X(143)-JVS(1572)*X(144)-JVS(1573)*X(145)&
             &-JVS(1574)*X(146)-JVS(1575)*X(147)-JVS(1576)*X(148)-JVS(1577)*X(149)-JVS(1578)*X(150)
  X(152) = X(152)-JVS(1587)*X(56)-JVS(1588)*X(72)-JVS(1589)*X(79)-JVS(1590)*X(81)-JVS(1591)*X(82)-JVS(1592)*X(85)&
             &-JVS(1593)*X(86)-JVS(1594)*X(97)-JVS(1595)*X(98)-JVS(1596)*X(102)-JVS(1597)*X(103)-JVS(1598)*X(108)-JVS(1599)&
             &*X(123)-JVS(1600)*X(126)-JVS(1601)*X(130)-JVS(1602)*X(131)-JVS(1603)*X(132)-JVS(1604)*X(133)-JVS(1605)*X(135)&
             &-JVS(1606)*X(138)-JVS(1607)*X(140)-JVS(1608)*X(143)-JVS(1609)*X(145)-JVS(1610)*X(147)-JVS(1611)*X(148)&
             &-JVS(1612)*X(149)-JVS(1613)*X(150)-JVS(1614)*X(151)
  X(153) = X(153)-JVS(1622)*X(37)-JVS(1623)*X(56)-JVS(1624)*X(65)-JVS(1625)*X(66)-JVS(1626)*X(83)-JVS(1627)*X(88)&
             &-JVS(1628)*X(89)-JVS(1629)*X(91)-JVS(1630)*X(92)-JVS(1631)*X(93)-JVS(1632)*X(94)-JVS(1633)*X(96)-JVS(1634)&
             &*X(98)-JVS(1635)*X(99)-JVS(1636)*X(101)-JVS(1637)*X(102)-JVS(1638)*X(103)-JVS(1639)*X(106)-JVS(1640)*X(107)&
             &-JVS(1641)*X(108)-JVS(1642)*X(109)-JVS(1643)*X(111)-JVS(1644)*X(112)-JVS(1645)*X(113)-JVS(1646)*X(114)&
             &-JVS(1647)*X(116)-JVS(1648)*X(117)-JVS(1649)*X(118)-JVS(1650)*X(119)-JVS(1651)*X(121)-JVS(1652)*X(122)&
             &-JVS(1653)*X(123)-JVS(1654)*X(124)-JVS(1655)*X(125)-JVS(1656)*X(126)-JVS(1657)*X(128)-JVS(1658)*X(129)&
             &-JVS(1659)*X(130)-JVS(1660)*X(131)-JVS(1661)*X(132)-JVS(1662)*X(133)-JVS(1663)*X(135)-JVS(1664)*X(137)&
             &-JVS(1665)*X(138)-JVS(1666)*X(140)-JVS(1667)*X(141)-JVS(1668)*X(143)-JVS(1669)*X(144)-JVS(1670)*X(145)&
             &-JVS(1671)*X(146)-JVS(1672)*X(147)-JVS(1673)*X(148)-JVS(1674)*X(149)-JVS(1675)*X(150)-JVS(1676)*X(151)&
             &-JVS(1677)*X(152)
  X(154) = X(154)-JVS(1684)*X(24)-JVS(1685)*X(25)-JVS(1686)*X(26)-JVS(1687)*X(30)-JVS(1688)*X(31)-JVS(1689)*X(32)&
             &-JVS(1690)*X(33)-JVS(1691)*X(34)-JVS(1692)*X(35)-JVS(1693)*X(36)-JVS(1694)*X(37)-JVS(1695)*X(38)-JVS(1696)&
             &*X(39)-JVS(1697)*X(42)-JVS(1698)*X(43)-JVS(1699)*X(44)-JVS(1700)*X(45)-JVS(1701)*X(46)-JVS(1702)*X(47)&
             &-JVS(1703)*X(48)-JVS(1704)*X(49)-JVS(1705)*X(50)-JVS(1706)*X(51)-JVS(1707)*X(52)-JVS(1708)*X(53)-JVS(1709)&
             &*X(55)-JVS(1710)*X(57)-JVS(1711)*X(58)-JVS(1712)*X(59)-JVS(1713)*X(60)-JVS(1714)*X(61)-JVS(1715)*X(62)&
             &-JVS(1716)*X(63)-JVS(1717)*X(64)-JVS(1718)*X(65)-JVS(1719)*X(66)-JVS(1720)*X(67)-JVS(1721)*X(68)-JVS(1722)&
             &*X(69)-JVS(1723)*X(70)-JVS(1724)*X(71)-JVS(1725)*X(72)-JVS(1726)*X(73)-JVS(1727)*X(74)-JVS(1728)*X(75)&
             &-JVS(1729)*X(76)-JVS(1730)*X(77)-JVS(1731)*X(78)-JVS(1732)*X(79)-JVS(1733)*X(80)-JVS(1734)*X(81)-JVS(1735)&
             &*X(82)-JVS(1736)*X(83)-JVS(1737)*X(84)-JVS(1738)*X(85)-JVS(1739)*X(87)-JVS(1740)*X(88)-JVS(1741)*X(89)&
             &-JVS(1742)*X(90)-JVS(1743)*X(91)-JVS(1744)*X(92)-JVS(1745)*X(93)-JVS(1746)*X(94)-JVS(1747)*X(95)-JVS(1748)&
             &*X(96)-JVS(1749)*X(97)-JVS(1750)*X(98)-JVS(1751)*X(99)-JVS(1752)*X(100)-JVS(1753)*X(101)-JVS(1754)*X(102)&
             &-JVS(1755)*X(103)-JVS(1756)*X(104)-JVS(1757)*X(105)-JVS(1758)*X(106)-JVS(1759)*X(107)-JVS(1760)*X(108)&
             &-JVS(1761)*X(109)-JVS(1762)*X(110)-JVS(1763)*X(111)-JVS(1764)*X(112)-JVS(1765)*X(113)-JVS(1766)*X(114)&
             &-JVS(1767)*X(115)-JVS(1768)*X(116)-JVS(1769)*X(117)-JVS(1770)*X(118)-JVS(1771)*X(119)-JVS(1772)*X(120)&
             &-JVS(1773)*X(121)-JVS(1774)*X(122)-JVS(1775)*X(123)-JVS(1776)*X(124)-JVS(1777)*X(125)-JVS(1778)*X(126)&
             &-JVS(1779)*X(127)-JVS(1780)*X(128)-JVS(1781)*X(129)-JVS(1782)*X(130)-JVS(1783)*X(131)-JVS(1784)*X(132)&
             &-JVS(1785)*X(133)-JVS(1786)*X(134)-JVS(1787)*X(135)-JVS(1788)*X(136)-JVS(1789)*X(137)-JVS(1790)*X(138)&
             &-JVS(1791)*X(139)-JVS(1792)*X(140)-JVS(1793)*X(141)-JVS(1794)*X(142)-JVS(1795)*X(143)-JVS(1796)*X(144)&
             &-JVS(1797)*X(145)-JVS(1798)*X(146)-JVS(1799)*X(147)-JVS(1800)*X(148)-JVS(1801)*X(149)-JVS(1802)*X(150)&
             &-JVS(1803)*X(151)-JVS(1804)*X(152)-JVS(1805)*X(153)
  X(155) = X(155)-JVS(1811)*X(69)-JVS(1812)*X(74)-JVS(1813)*X(75)-JVS(1814)*X(96)-JVS(1815)*X(102)-JVS(1816)*X(140)&
             &-JVS(1817)*X(143)-JVS(1818)*X(149)-JVS(1819)*X(150)-JVS(1820)*X(151)-JVS(1821)*X(152)-JVS(1822)*X(153)&
             &-JVS(1823)*X(154)
  X(156) = X(156)-JVS(1828)*X(31)-JVS(1829)*X(38)-JVS(1830)*X(41)-JVS(1831)*X(44)-JVS(1832)*X(54)-JVS(1833)*X(87)&
             &-JVS(1834)*X(93)-JVS(1835)*X(95)-JVS(1836)*X(98)-JVS(1837)*X(99)-JVS(1838)*X(100)-JVS(1839)*X(102)-JVS(1840)&
             &*X(103)-JVS(1841)*X(106)-JVS(1842)*X(107)-JVS(1843)*X(108)-JVS(1844)*X(111)-JVS(1845)*X(113)-JVS(1846)*X(114)&
             &-JVS(1847)*X(116)-JVS(1848)*X(117)-JVS(1849)*X(118)-JVS(1850)*X(119)-JVS(1851)*X(120)-JVS(1852)*X(121)&
             &-JVS(1853)*X(122)-JVS(1854)*X(123)-JVS(1855)*X(124)-JVS(1856)*X(125)-JVS(1857)*X(128)-JVS(1858)*X(129)&
             &-JVS(1859)*X(130)-JVS(1860)*X(131)-JVS(1861)*X(132)-JVS(1862)*X(133)-JVS(1863)*X(135)-JVS(1864)*X(137)&
             &-JVS(1865)*X(138)-JVS(1866)*X(139)-JVS(1867)*X(140)-JVS(1868)*X(141)-JVS(1869)*X(142)-JVS(1870)*X(143)&
             &-JVS(1871)*X(144)-JVS(1872)*X(145)-JVS(1873)*X(146)-JVS(1874)*X(147)-JVS(1875)*X(148)-JVS(1876)*X(149)&
             &-JVS(1877)*X(150)-JVS(1878)*X(151)-JVS(1879)*X(152)-JVS(1880)*X(153)-JVS(1881)*X(154)-JVS(1882)*X(155)
  X(157) = X(157)-JVS(1886)*X(32)-JVS(1887)*X(41)-JVS(1888)*X(42)-JVS(1889)*X(43)-JVS(1890)*X(44)-JVS(1891)*X(45)&
             &-JVS(1892)*X(46)-JVS(1893)*X(47)-JVS(1894)*X(49)-JVS(1895)*X(50)-JVS(1896)*X(51)-JVS(1897)*X(53)-JVS(1898)&
             &*X(55)-JVS(1899)*X(57)-JVS(1900)*X(58)-JVS(1901)*X(59)-JVS(1902)*X(60)-JVS(1903)*X(61)-JVS(1904)*X(62)&
             &-JVS(1905)*X(63)-JVS(1906)*X(65)-JVS(1907)*X(66)-JVS(1908)*X(67)-JVS(1909)*X(68)-JVS(1910)*X(69)-JVS(1911)&
             &*X(70)-JVS(1912)*X(71)-JVS(1913)*X(72)-JVS(1914)*X(73)-JVS(1915)*X(74)-JVS(1916)*X(75)-JVS(1917)*X(76)&
             &-JVS(1918)*X(77)-JVS(1919)*X(79)-JVS(1920)*X(80)-JVS(1921)*X(81)-JVS(1922)*X(82)-JVS(1923)*X(83)-JVS(1924)&
             &*X(84)-JVS(1925)*X(88)-JVS(1926)*X(89)-JVS(1927)*X(90)-JVS(1928)*X(91)-JVS(1929)*X(92)-JVS(1930)*X(93)&
             &-JVS(1931)*X(94)-JVS(1932)*X(95)-JVS(1933)*X(96)-JVS(1934)*X(97)-JVS(1935)*X(98)-JVS(1936)*X(99)-JVS(1937)&
             &*X(101)-JVS(1938)*X(102)-JVS(1939)*X(103)-JVS(1940)*X(105)-JVS(1941)*X(106)-JVS(1942)*X(107)-JVS(1943)*X(108)&
             &-JVS(1944)*X(109)-JVS(1945)*X(110)-JVS(1946)*X(111)-JVS(1947)*X(112)-JVS(1948)*X(113)-JVS(1949)*X(114)&
             &-JVS(1950)*X(115)-JVS(1951)*X(116)-JVS(1952)*X(117)-JVS(1953)*X(118)-JVS(1954)*X(119)-JVS(1955)*X(121)&
             &-JVS(1956)*X(122)-JVS(1957)*X(123)-JVS(1958)*X(124)-JVS(1959)*X(125)-JVS(1960)*X(126)-JVS(1961)*X(127)&
             &-JVS(1962)*X(128)-JVS(1963)*X(129)-JVS(1964)*X(130)-JVS(1965)*X(131)-JVS(1966)*X(132)-JVS(1967)*X(133)&
             &-JVS(1968)*X(134)-JVS(1969)*X(135)-JVS(1970)*X(136)-JVS(1971)*X(137)-JVS(1972)*X(138)-JVS(1973)*X(139)&
             &-JVS(1974)*X(140)-JVS(1975)*X(141)-JVS(1976)*X(142)-JVS(1977)*X(143)-JVS(1978)*X(144)-JVS(1979)*X(145)&
             &-JVS(1980)*X(146)-JVS(1981)*X(147)-JVS(1982)*X(148)-JVS(1983)*X(149)-JVS(1984)*X(150)-JVS(1985)*X(151)&
             &-JVS(1986)*X(152)-JVS(1987)*X(153)-JVS(1988)*X(154)-JVS(1989)*X(155)-JVS(1990)*X(156)
  X(158) = X(158)-JVS(1993)*X(27)-JVS(1994)*X(28)-JVS(1995)*X(29)-JVS(1996)*X(37)-JVS(1997)*X(40)-JVS(1998)*X(41)&
             &-JVS(1999)*X(48)-JVS(2000)*X(49)-JVS(2001)*X(54)-JVS(2002)*X(56)-JVS(2003)*X(59)-JVS(2004)*X(65)-JVS(2005)&
             &*X(66)-JVS(2006)*X(77)-JVS(2007)*X(80)-JVS(2008)*X(83)-JVS(2009)*X(84)-JVS(2010)*X(85)-JVS(2011)*X(86)&
             &-JVS(2012)*X(88)-JVS(2013)*X(89)-JVS(2014)*X(91)-JVS(2015)*X(92)-JVS(2016)*X(93)-JVS(2017)*X(94)-JVS(2018)&
             &*X(95)-JVS(2019)*X(96)-JVS(2020)*X(97)-JVS(2021)*X(98)-JVS(2022)*X(99)-JVS(2023)*X(101)-JVS(2024)*X(102)&
             &-JVS(2025)*X(103)-JVS(2026)*X(104)-JVS(2027)*X(106)-JVS(2028)*X(107)-JVS(2029)*X(108)-JVS(2030)*X(109)&
             &-JVS(2031)*X(110)-JVS(2032)*X(111)-JVS(2033)*X(112)-JVS(2034)*X(113)-JVS(2035)*X(114)-JVS(2036)*X(115)&
             &-JVS(2037)*X(116)-JVS(2038)*X(117)-JVS(2039)*X(118)-JVS(2040)*X(119)-JVS(2041)*X(120)-JVS(2042)*X(121)&
             &-JVS(2043)*X(122)-JVS(2044)*X(123)-JVS(2045)*X(124)-JVS(2046)*X(125)-JVS(2047)*X(126)-JVS(2048)*X(127)&
             &-JVS(2049)*X(128)-JVS(2050)*X(129)-JVS(2051)*X(130)-JVS(2052)*X(131)-JVS(2053)*X(132)-JVS(2054)*X(133)&
             &-JVS(2055)*X(134)-JVS(2056)*X(135)-JVS(2057)*X(136)-JVS(2058)*X(137)-JVS(2059)*X(138)-JVS(2060)*X(139)&
             &-JVS(2061)*X(140)-JVS(2062)*X(141)-JVS(2063)*X(142)-JVS(2064)*X(143)-JVS(2065)*X(144)-JVS(2066)*X(145)&
             &-JVS(2067)*X(146)-JVS(2068)*X(147)-JVS(2069)*X(148)-JVS(2070)*X(149)-JVS(2071)*X(150)-JVS(2072)*X(151)&
             &-JVS(2073)*X(152)-JVS(2074)*X(153)-JVS(2075)*X(154)-JVS(2076)*X(155)-JVS(2077)*X(156)-JVS(2078)*X(157)
  X(158) = X(158)/JVS(2079)
  X(157) = (X(157)-JVS(1992)*X(158))/(JVS(1991))
  X(156) = (X(156)-JVS(1884)*X(157)-JVS(1885)*X(158))/(JVS(1883))
  X(155) = (X(155)-JVS(1825)*X(156)-JVS(1826)*X(157)-JVS(1827)*X(158))/(JVS(1824))
  X(154) = (X(154)-JVS(1807)*X(155)-JVS(1808)*X(156)-JVS(1809)*X(157)-JVS(1810)*X(158))/(JVS(1806))
  X(153) = (X(153)-JVS(1679)*X(154)-JVS(1680)*X(155)-JVS(1681)*X(156)-JVS(1682)*X(157)-JVS(1683)*X(158))/(JVS(1678))
  X(152) = (X(152)-JVS(1616)*X(153)-JVS(1617)*X(154)-JVS(1618)*X(155)-JVS(1619)*X(156)-JVS(1620)*X(157)-JVS(1621)&
             &*X(158))/(JVS(1615))
  X(151) = (X(151)-JVS(1580)*X(152)-JVS(1581)*X(153)-JVS(1582)*X(154)-JVS(1583)*X(155)-JVS(1584)*X(156)-JVS(1585)*X(157)&
             &-JVS(1586)*X(158))/(JVS(1579))
  X(150) = (X(150)-JVS(1523)*X(151)-JVS(1524)*X(152)-JVS(1525)*X(153)-JVS(1526)*X(154)-JVS(1527)*X(155)-JVS(1528)*X(156)&
             &-JVS(1529)*X(157)-JVS(1530)*X(158))/(JVS(1522))
  X(149) = (X(149)-JVS(1456)*X(150)-JVS(1457)*X(151)-JVS(1458)*X(152)-JVS(1459)*X(153)-JVS(1460)*X(154)-JVS(1461)*X(155)&
             &-JVS(1462)*X(156)-JVS(1463)*X(157)-JVS(1464)*X(158))/(JVS(1455))
  X(148) = (X(148)-JVS(1390)*X(149)-JVS(1391)*X(150)-JVS(1392)*X(151)-JVS(1393)*X(152)-JVS(1394)*X(153)-JVS(1395)*X(154)&
             &-JVS(1396)*X(155)-JVS(1397)*X(156)-JVS(1398)*X(157)-JVS(1399)*X(158))/(JVS(1389))
  X(147) = (X(147)-JVS(1358)*X(148)-JVS(1359)*X(149)-JVS(1360)*X(150)-JVS(1361)*X(151)-JVS(1362)*X(152)-JVS(1363)*X(153)&
             &-JVS(1364)*X(154)-JVS(1365)*X(155)-JVS(1366)*X(156)-JVS(1367)*X(157)-JVS(1368)*X(158))/(JVS(1357))
  X(146) = (X(146)-JVS(1312)*X(148)-JVS(1313)*X(149)-JVS(1314)*X(151)-JVS(1315)*X(152)-JVS(1316)*X(153)-JVS(1317)*X(154)&
             &-JVS(1318)*X(155)-JVS(1319)*X(156)-JVS(1320)*X(157)-JVS(1321)*X(158))/(JVS(1311))
  X(145) = (X(145)-JVS(1293)*X(149)-JVS(1294)*X(150)-JVS(1295)*X(151)-JVS(1296)*X(152)-JVS(1297)*X(153)-JVS(1298)*X(154)&
             &-JVS(1299)*X(156)-JVS(1300)*X(157)-JVS(1301)*X(158))/(JVS(1292))
  X(144) = (X(144)-JVS(1275)*X(146)-JVS(1276)*X(149)-JVS(1277)*X(151)-JVS(1278)*X(152)-JVS(1279)*X(153)-JVS(1280)*X(154)&
             &-JVS(1281)*X(156)-JVS(1282)*X(157)-JVS(1283)*X(158))/(JVS(1274))
  X(143) = (X(143)-JVS(1260)*X(149)-JVS(1261)*X(151)-JVS(1262)*X(152)-JVS(1263)*X(153)-JVS(1264)*X(154)-JVS(1265)*X(156)&
             &-JVS(1266)*X(157))/(JVS(1259))
  X(142) = (X(142)-JVS(1239)*X(143)-JVS(1240)*X(144)-JVS(1241)*X(145)-JVS(1242)*X(146)-JVS(1243)*X(147)-JVS(1244)*X(148)&
             &-JVS(1245)*X(149)-JVS(1246)*X(150)-JVS(1247)*X(151)-JVS(1248)*X(152)-JVS(1249)*X(153)-JVS(1250)*X(154)&
             &-JVS(1251)*X(156)-JVS(1252)*X(157)-JVS(1253)*X(158))/(JVS(1238))
  X(141) = (X(141)-JVS(1213)*X(143)-JVS(1214)*X(144)-JVS(1215)*X(149)-JVS(1216)*X(151)-JVS(1217)*X(152)-JVS(1218)*X(153)&
             &-JVS(1219)*X(154)-JVS(1220)*X(156)-JVS(1221)*X(157))/(JVS(1212))
  X(140) = (X(140)-JVS(1197)*X(149)-JVS(1198)*X(151)-JVS(1199)*X(152)-JVS(1200)*X(153)-JVS(1201)*X(154)-JVS(1202)*X(156)&
             &-JVS(1203)*X(157))/(JVS(1196))
  X(139) = (X(139)-JVS(1176)*X(140)-JVS(1177)*X(141)-JVS(1178)*X(143)-JVS(1179)*X(145)-JVS(1180)*X(146)-JVS(1181)*X(148)&
             &-JVS(1182)*X(149)-JVS(1183)*X(150)-JVS(1184)*X(151)-JVS(1185)*X(152)-JVS(1186)*X(153)-JVS(1187)*X(154)&
             &-JVS(1188)*X(155)-JVS(1189)*X(156)-JVS(1190)*X(157)-JVS(1191)*X(158))/(JVS(1175))
  X(138) = (X(138)-JVS(1138)*X(140)-JVS(1139)*X(143)-JVS(1140)*X(149)-JVS(1141)*X(151)-JVS(1142)*X(152)-JVS(1143)*X(153)&
             &-JVS(1144)*X(154)-JVS(1145)*X(156)-JVS(1146)*X(157))/(JVS(1137))
  X(137) = (X(137)-JVS(1122)*X(149)-JVS(1123)*X(150)-JVS(1124)*X(151)-JVS(1125)*X(152)-JVS(1126)*X(153)-JVS(1127)*X(154)&
             &-JVS(1128)*X(155)-JVS(1129)*X(156)-JVS(1130)*X(157)-JVS(1131)*X(158))/(JVS(1121))
  X(136) = (X(136)-JVS(1099)*X(137)-JVS(1100)*X(138)-JVS(1101)*X(139)-JVS(1102)*X(140)-JVS(1103)*X(141)-JVS(1104)*X(143)&
             &-JVS(1105)*X(145)-JVS(1106)*X(146)-JVS(1107)*X(148)-JVS(1108)*X(149)-JVS(1109)*X(150)-JVS(1110)*X(151)&
             &-JVS(1111)*X(152)-JVS(1112)*X(153)-JVS(1113)*X(154)-JVS(1114)*X(155)-JVS(1115)*X(156)-JVS(1116)*X(157)&
             &-JVS(1117)*X(158))/(JVS(1098))
  X(135) = (X(135)-JVS(1062)*X(143)-JVS(1063)*X(149)-JVS(1064)*X(151)-JVS(1065)*X(152)-JVS(1066)*X(153)-JVS(1067)*X(154)&
             &-JVS(1068)*X(156))/(JVS(1061))
  X(134) = (X(134)-JVS(1038)*X(135)-JVS(1039)*X(137)-JVS(1040)*X(138)-JVS(1041)*X(139)-JVS(1042)*X(140)-JVS(1043)*X(141)&
             &-JVS(1044)*X(142)-JVS(1045)*X(143)-JVS(1046)*X(144)-JVS(1047)*X(145)-JVS(1048)*X(146)-JVS(1049)*X(147)&
             &-JVS(1050)*X(148)-JVS(1051)*X(149)-JVS(1052)*X(150)-JVS(1053)*X(151)-JVS(1054)*X(152)-JVS(1055)*X(153)&
             &-JVS(1056)*X(154)-JVS(1057)*X(155)-JVS(1058)*X(156)-JVS(1059)*X(157)-JVS(1060)*X(158))/(JVS(1037))
  X(133) = (X(133)-JVS(977)*X(149)-JVS(978)*X(151)-JVS(979)*X(152)-JVS(980)*X(153)-JVS(981)*X(154)-JVS(982)*X(155)&
             &-JVS(983)*X(156)-JVS(984)*X(157)-JVS(985)*X(158))/(JVS(976))
  X(132) = (X(132)-JVS(961)*X(135)-JVS(962)*X(145)-JVS(963)*X(147)-JVS(964)*X(148)-JVS(965)*X(149)-JVS(966)*X(151)&
             &-JVS(967)*X(152)-JVS(968)*X(153)-JVS(969)*X(154)-JVS(970)*X(156)-JVS(971)*X(157)-JVS(972)*X(158))/(JVS(960))
  X(131) = (X(131)-JVS(947)*X(138)-JVS(948)*X(140)-JVS(949)*X(151)-JVS(950)*X(153)-JVS(951)*X(154)-JVS(952)*X(156)&
             &-JVS(953)*X(157))/(JVS(946))
  X(130) = (X(130)-JVS(937)*X(140)-JVS(938)*X(143)-JVS(939)*X(152)-JVS(940)*X(153)-JVS(941)*X(154)-JVS(942)*X(156))&
             &/(JVS(936))
  X(129) = (X(129)-JVS(928)*X(145)-JVS(929)*X(149)-JVS(930)*X(151)-JVS(931)*X(152)-JVS(932)*X(153)-JVS(933)*X(154)&
             &-JVS(934)*X(156)-JVS(935)*X(157))/(JVS(927))
  X(128) = (X(128)-JVS(918)*X(148)-JVS(919)*X(149)-JVS(920)*X(151)-JVS(921)*X(153)-JVS(922)*X(154)-JVS(923)*X(156)&
             &-JVS(924)*X(157))/(JVS(917))
  X(127) = (X(127)-JVS(902)*X(129)-JVS(903)*X(130)-JVS(904)*X(131)-JVS(905)*X(135)-JVS(906)*X(138)-JVS(907)*X(140)&
             &-JVS(908)*X(149)-JVS(909)*X(150)-JVS(910)*X(151)-JVS(911)*X(152)-JVS(912)*X(153)-JVS(913)*X(154)-JVS(914)&
             &*X(156)-JVS(915)*X(157)-JVS(916)*X(158))/(JVS(901))
  X(126) = (X(126)-JVS(884)*X(149)-JVS(885)*X(152)-JVS(886)*X(153)-JVS(887)*X(154)-JVS(888)*X(156)-JVS(889)*X(157)&
             &-JVS(890)*X(158))/(JVS(883))
  X(125) = (X(125)-JVS(866)*X(132)-JVS(867)*X(141)-JVS(868)*X(146)-JVS(869)*X(147)-JVS(870)*X(148)-JVS(871)*X(149)&
             &-JVS(872)*X(151)-JVS(873)*X(153)-JVS(874)*X(154)-JVS(875)*X(156)-JVS(876)*X(157))/(JVS(865))
  X(124) = (X(124)-JVS(855)*X(133)-JVS(856)*X(149)-JVS(857)*X(151)-JVS(858)*X(153)-JVS(859)*X(154)-JVS(860)*X(155)&
             &-JVS(861)*X(156)-JVS(862)*X(157))/(JVS(854))
  X(123) = (X(123)-JVS(846)*X(135)-JVS(847)*X(149)-JVS(848)*X(153)-JVS(849)*X(154)-JVS(850)*X(157)-JVS(851)*X(158))&
             &/(JVS(845))
  X(122) = (X(122)-JVS(839)*X(130)-JVS(840)*X(140)-JVS(841)*X(152)-JVS(842)*X(153)-JVS(843)*X(154)-JVS(844)*X(157))&
             &/(JVS(838))
  X(121) = (X(121)-JVS(829)*X(149)-JVS(830)*X(151)-JVS(831)*X(153)-JVS(832)*X(155)-JVS(833)*X(156)-JVS(834)*X(157))&
             &/(JVS(828))
  X(120) = (X(120)-JVS(814)*X(121)-JVS(815)*X(122)-JVS(816)*X(123)-JVS(817)*X(130)-JVS(818)*X(135)-JVS(819)*X(140)&
             &-JVS(820)*X(145)-JVS(821)*X(149)-JVS(822)*X(151)-JVS(823)*X(152)-JVS(824)*X(153)-JVS(825)*X(154)-JVS(826)&
             &*X(156)-JVS(827)*X(157))/(JVS(813))
  X(119) = (X(119)-JVS(802)*X(122)-JVS(803)*X(130)-JVS(804)*X(153)-JVS(805)*X(154)-JVS(806)*X(157))/(JVS(801))
  X(118) = (X(118)-JVS(792)*X(145)-JVS(793)*X(149)-JVS(794)*X(151)-JVS(795)*X(152)-JVS(796)*X(153)-JVS(797)*X(154)&
             &-JVS(798)*X(156)-JVS(799)*X(157))/(JVS(791))
  X(117) = (X(117)-JVS(781)*X(145)-JVS(782)*X(149)-JVS(783)*X(151)-JVS(784)*X(152)-JVS(785)*X(153)-JVS(786)*X(154)&
             &-JVS(787)*X(156)-JVS(788)*X(157))/(JVS(780))
  X(116) = (X(116)-JVS(770)*X(119)-JVS(771)*X(122)-JVS(772)*X(137)-JVS(773)*X(140)-JVS(774)*X(152)-JVS(775)*X(153)&
             &-JVS(776)*X(154)-JVS(777)*X(157))/(JVS(769))
  X(115) = (X(115)-JVS(755)*X(126)-JVS(756)*X(127)-JVS(757)*X(130)-JVS(758)*X(131)-JVS(759)*X(135)-JVS(760)*X(140)&
             &-JVS(761)*X(149)-JVS(762)*X(151)-JVS(763)*X(152)-JVS(764)*X(153)-JVS(765)*X(154)-JVS(766)*X(156)-JVS(767)&
             &*X(157))/(JVS(754))
  X(114) = (X(114)-JVS(733)*X(128)-JVS(734)*X(141)-JVS(735)*X(146)-JVS(736)*X(151)-JVS(737)*X(153)-JVS(738)*X(154)&
             &-JVS(739)*X(156)-JVS(740)*X(157))/(JVS(732))
  X(113) = (X(113)-JVS(722)*X(141)-JVS(723)*X(146)-JVS(724)*X(151)-JVS(725)*X(153)-JVS(726)*X(154)-JVS(727)*X(156)&
             &-JVS(728)*X(157))/(JVS(721))
  X(112) = (X(112)-JVS(713)*X(130)-JVS(714)*X(140)-JVS(715)*X(152)-JVS(716)*X(153)-JVS(717)*X(154)-JVS(718)*X(157))&
             &/(JVS(712))
  X(111) = (X(111)-JVS(700)*X(135)-JVS(701)*X(149)-JVS(702)*X(153)-JVS(703)*X(156)-JVS(704)*X(157))/(JVS(699))
  X(110) = (X(110)-JVS(691)*X(119)-JVS(692)*X(122)-JVS(693)*X(129)-JVS(694)*X(140)-JVS(695)*X(152)-JVS(696)*X(153)&
             &-JVS(697)*X(154)-JVS(698)*X(157))/(JVS(690))
  X(109) = (X(109)-JVS(681)*X(126)-JVS(682)*X(138)-JVS(683)*X(149)-JVS(684)*X(150)-JVS(685)*X(152)-JVS(686)*X(153)&
             &-JVS(687)*X(154)-JVS(688)*X(158))/(JVS(680))
  X(108) = (X(108)-JVS(670)*X(149)-JVS(671)*X(152)-JVS(672)*X(153)-JVS(673)*X(154)-JVS(674)*X(156)-JVS(675)*X(157)&
             &-JVS(676)*X(158))/(JVS(669))
  X(107) = (X(107)-JVS(659)*X(135)-JVS(660)*X(153)-JVS(661)*X(154)-JVS(662)*X(156)-JVS(663)*X(157))/(JVS(658))
  X(106) = (X(106)-JVS(651)*X(141)-JVS(652)*X(146)-JVS(653)*X(151)-JVS(654)*X(153)-JVS(655)*X(154)-JVS(656)*X(156)&
             &-JVS(657)*X(157))/(JVS(650))
  X(105) = (X(105)-JVS(627)*X(106)-JVS(628)*X(107)-JVS(629)*X(111)-JVS(630)*X(113)-JVS(631)*X(114)-JVS(632)*X(117)&
             &-JVS(633)*X(118)-JVS(634)*X(125)-JVS(635)*X(127)-JVS(636)*X(128)-JVS(637)*X(129)-JVS(638)*X(130)-JVS(639)&
             &*X(131)-JVS(640)*X(135)-JVS(641)*X(140)-JVS(642)*X(141)-JVS(643)*X(143)-JVS(644)*X(144)-JVS(645)*X(152)&
             &-JVS(646)*X(154)-JVS(647)*X(156))/(JVS(626))
  X(104) = (X(104)-JVS(606)*X(115)-JVS(607)*X(124)-JVS(608)*X(126)-JVS(609)*X(130)-JVS(610)*X(131)-JVS(611)*X(134)&
             &-JVS(612)*X(135)-JVS(613)*X(136)-JVS(614)*X(140)-JVS(615)*X(142)-JVS(616)*X(147)-JVS(617)*X(148)-JVS(618)&
             &*X(149)-JVS(619)*X(151)-JVS(620)*X(152)-JVS(621)*X(153)-JVS(622)*X(154)-JVS(623)*X(155)-JVS(624)*X(157)&
             &-JVS(625)*X(158))/(JVS(605))
  X(103) = (X(103)-JVS(592)*X(145)-JVS(593)*X(149)-JVS(594)*X(152)-JVS(595)*X(154))/(JVS(591))
  X(102) = (X(102)-JVS(587)*X(149)-JVS(588)*X(152)-JVS(589)*X(154))/(JVS(586))
  X(101) = (X(101)-JVS(578)*X(102)-JVS(579)*X(103)-JVS(580)*X(145)-JVS(581)*X(150)-JVS(582)*X(152)-JVS(583)*X(153)&
             &-JVS(584)*X(155)-JVS(585)*X(158))/(JVS(577))
  X(100) = (X(100)-JVS(549)*X(103)-JVS(550)*X(106)-JVS(551)*X(113)-JVS(552)*X(114)-JVS(553)*X(116)-JVS(554)*X(117)&
             &-JVS(555)*X(118)-JVS(556)*X(121)-JVS(557)*X(124)-JVS(558)*X(125)-JVS(559)*X(128)-JVS(560)*X(129)-JVS(561)&
             &*X(131)-JVS(562)*X(137)-JVS(563)*X(139)-JVS(564)*X(140)-JVS(565)*X(141)-JVS(566)*X(143)-JVS(567)*X(144)&
             &-JVS(568)*X(149)-JVS(569)*X(150)-JVS(570)*X(151)-JVS(571)*X(152)-JVS(572)*X(153)-JVS(573)*X(154)-JVS(574)&
             &*X(156)-JVS(575)*X(157)-JVS(576)*X(158))/(JVS(548))
  X(99) = (X(99)-JVS(538)*X(149)-JVS(539)*X(151)-JVS(540)*X(152)-JVS(541)*X(153)-JVS(542)*X(154)-JVS(543)*X(156)&
            &-JVS(544)*X(157))/(JVS(537))
  X(98) = (X(98)-JVS(525)*X(149)-JVS(526)*X(153)-JVS(527)*X(154)-JVS(528)*X(156)-JVS(529)*X(157)-JVS(530)*X(158))&
            &/(JVS(524))
  X(97) = (X(97)-JVS(517)*X(140)-JVS(518)*X(152)-JVS(519)*X(153)-JVS(520)*X(154))/(JVS(516))
  X(96) = (X(96)-JVS(511)*X(102)-JVS(512)*X(150)-JVS(513)*X(152)-JVS(514)*X(153)-JVS(515)*X(158))/(JVS(510))
  X(95) = (X(95)-JVS(505)*X(123)-JVS(506)*X(149)-JVS(507)*X(154)-JVS(508)*X(155)-JVS(509)*X(158))/(JVS(504))
  X(94) = (X(94)-JVS(498)*X(116)-JVS(499)*X(153)-JVS(500)*X(154)-JVS(501)*X(157)-JVS(502)*X(158))/(JVS(497))
  X(93) = (X(93)-JVS(491)*X(145)-JVS(492)*X(150)-JVS(493)*X(152)-JVS(494)*X(153)-JVS(495)*X(158))/(JVS(490))
  X(92) = (X(92)-JVS(486)*X(140)-JVS(487)*X(151)-JVS(488)*X(153)-JVS(489)*X(157))/(JVS(485))
  X(91) = (X(91)-JVS(479)*X(138)-JVS(480)*X(150)-JVS(481)*X(152)-JVS(482)*X(153)-JVS(483)*X(155)-JVS(484)*X(158))&
            &/(JVS(478))
  X(90) = (X(90)-JVS(464)*X(106)-JVS(465)*X(113)-JVS(466)*X(117)-JVS(467)*X(118)-JVS(468)*X(124)-JVS(469)*X(128)&
            &-JVS(470)*X(129)-JVS(471)*X(131)-JVS(472)*X(137)-JVS(473)*X(140)-JVS(474)*X(141)-JVS(475)*X(144)-JVS(476)&
            &*X(154)-JVS(477)*X(156))/(JVS(463))
  X(89) = (X(89)-JVS(457)*X(131)-JVS(458)*X(151)-JVS(459)*X(152)-JVS(460)*X(153)-JVS(461)*X(154)-JVS(462)*X(157))&
            &/(JVS(456))
  X(88) = (X(88)-JVS(450)*X(103)-JVS(451)*X(150)-JVS(452)*X(152)-JVS(453)*X(153)-JVS(454)*X(158))/(JVS(449))
  X(87) = (X(87)-JVS(441)*X(113)-JVS(442)*X(141)-JVS(443)*X(146)-JVS(444)*X(151)-JVS(445)*X(153)-JVS(446)*X(154)&
            &-JVS(447)*X(156)-JVS(448)*X(157))/(JVS(440))
  X(86) = (X(86)-JVS(430)*X(98)-JVS(431)*X(108)-JVS(432)*X(149)-JVS(433)*X(152)-JVS(434)*X(153)-JVS(435)*X(154)-JVS(436)&
            &*X(156)-JVS(437)*X(157)-JVS(438)*X(158))/(JVS(429))
  X(85) = (X(85)-JVS(421)*X(133)-JVS(422)*X(152)-JVS(423)*X(154)-JVS(424)*X(158))/(JVS(420))
  X(84) = (X(84)-JVS(415)*X(107)-JVS(416)*X(111)-JVS(417)*X(143)-JVS(418)*X(154)-JVS(419)*X(157))/(JVS(414))
  X(83) = (X(83)-JVS(409)*X(102)-JVS(410)*X(150)-JVS(411)*X(152)-JVS(412)*X(153)-JVS(413)*X(158))/(JVS(408))
  X(82) = (X(82)-JVS(405)*X(149)-JVS(406)*X(152)-JVS(407)*X(154))/(JVS(404))
  X(81) = (X(81)-JVS(397)*X(126)-JVS(398)*X(149)-JVS(399)*X(152)-JVS(400)*X(154))/(JVS(396))
  X(80) = (X(80)-JVS(384)*X(119)-JVS(385)*X(130)-JVS(386)*X(152)-JVS(387)*X(153)-JVS(388)*X(154)-JVS(389)*X(157))&
            &/(JVS(383))
  X(79) = (X(79)-JVS(380)*X(149)-JVS(381)*X(152)-JVS(382)*X(154))/(JVS(379))
  X(78) = (X(78)-JVS(371)*X(121)-JVS(372)*X(133)-JVS(373)*X(149)-JVS(374)*X(154)-JVS(375)*X(155)-JVS(376)*X(157))&
            &/(JVS(370))
  X(77) = (X(77)-JVS(366)*X(119)-JVS(367)*X(122)-JVS(368)*X(154)-JVS(369)*X(157))/(JVS(365))
  X(76) = (X(76)-JVS(351)*X(81)-JVS(352)*X(82)-JVS(353)*X(94)-JVS(354)*X(97)-JVS(355)*X(101)-JVS(356)*X(110)-JVS(357)&
            &*X(112)-JVS(358)*X(119)-JVS(359)*X(127)-JVS(360)*X(139)-JVS(361)*X(152)-JVS(362)*X(153)-JVS(363)*X(154)&
            &-JVS(364)*X(157))/(JVS(350))
  X(75) = (X(75)-JVS(347)*X(140)-JVS(348)*X(154)-JVS(349)*X(157))/(JVS(346))
  X(74) = (X(74)-JVS(343)*X(140)-JVS(344)*X(154)-JVS(345)*X(157))/(JVS(342))
  X(73) = (X(73)-JVS(337)*X(131)-JVS(338)*X(151)-JVS(339)*X(153)-JVS(340)*X(154)-JVS(341)*X(157))/(JVS(336))
  X(72) = (X(72)-JVS(330)*X(131)-JVS(331)*X(151)-JVS(332)*X(152)-JVS(333)*X(153)-JVS(334)*X(154))/(JVS(329))
  X(71) = (X(71)-JVS(326)*X(131)-JVS(327)*X(154)-JVS(328)*X(157))/(JVS(325))
  X(70) = (X(70)-JVS(322)*X(129)-JVS(323)*X(154)-JVS(324)*X(157))/(JVS(321))
  X(69) = (X(69)-JVS(318)*X(140)-JVS(319)*X(154)-JVS(320)*X(157))/(JVS(317))
  X(68) = (X(68)-JVS(313)*X(112)-JVS(314)*X(153)-JVS(315)*X(154)-JVS(316)*X(157))/(JVS(312))
  X(67) = (X(67)-JVS(308)*X(96)-JVS(309)*X(137)-JVS(310)*X(154)-JVS(311)*X(157))/(JVS(307))
  X(66) = (X(66)-JVS(303)*X(140)-JVS(304)*X(153)-JVS(305)*X(154)-JVS(306)*X(157))/(JVS(302))
  X(65) = (X(65)-JVS(298)*X(140)-JVS(299)*X(153)-JVS(300)*X(157))/(JVS(297))
  X(64) = (X(64)-JVS(293)*X(114)-JVS(294)*X(128)-JVS(295)*X(154)-JVS(296)*X(157))/(JVS(292))
  X(63) = (X(63)-JVS(290)*X(149)-JVS(291)*X(154))/(JVS(289))
  X(62) = (X(62)-JVS(286)*X(149)-JVS(287)*X(154))/(JVS(285))
  X(61) = (X(61)-JVS(281)*X(140)-JVS(282)*X(154))/(JVS(280))
  X(60) = (X(60)-JVS(275)*X(89)-JVS(276)*X(92)-JVS(277)*X(141)-JVS(278)*X(154)-JVS(279)*X(157))/(JVS(274))
  X(59) = (X(59)-JVS(271)*X(118)-JVS(272)*X(154)-JVS(273)*X(157))/(JVS(270))
  X(58) = (X(58)-JVS(267)*X(117)-JVS(268)*X(154)-JVS(269)*X(157))/(JVS(266))
  X(57) = (X(57)-JVS(257)*X(83)-JVS(258)*X(88)-JVS(259)*X(91)-JVS(260)*X(93)-JVS(261)*X(96)-JVS(262)*X(101)-JVS(263)&
            &*X(109)-JVS(264)*X(154)-JVS(265)*X(157))/(JVS(256))
  X(56) = (X(56)-JVS(252)*X(149)-JVS(253)*X(152)-JVS(254)*X(153)-JVS(255)*X(158))/(JVS(251))
  X(55) = (X(55)-JVS(246)*X(123)-JVS(247)*X(132)-JVS(248)*X(154)-JVS(249)*X(157))/(JVS(245))
  X(54) = (X(54)-JVS(241)*X(95)-JVS(242)*X(151)-JVS(243)*X(154)-JVS(244)*X(158))/(JVS(240))
  X(53) = (X(53)-JVS(235)*X(125)-JVS(236)*X(130)-JVS(237)*X(152)-JVS(238)*X(154)-JVS(239)*X(156))/(JVS(234))
  X(52) = (X(52)-JVS(229)*X(98)-JVS(230)*X(108)-JVS(231)*X(154)-JVS(232)*X(157)-JVS(233)*X(158))/(JVS(228))
  X(51) = (X(51)-JVS(225)*X(149)-JVS(226)*X(154))/(JVS(224))
  X(50) = (X(50)-JVS(219)*X(125)-JVS(220)*X(154)-JVS(221)*X(157))/(JVS(218))
  X(49) = (X(49)-JVS(215)*X(154)-JVS(216)*X(157)-JVS(217)*X(158))/(JVS(214))
  X(48) = (X(48)-JVS(211)*X(98)-JVS(212)*X(154)-JVS(213)*X(158))/(JVS(210))
  X(47) = (X(47)-JVS(204)*X(71)-JVS(205)*X(115)-JVS(206)*X(131)-JVS(207)*X(134)-JVS(208)*X(154)-JVS(209)*X(156))&
            &/(JVS(203))
  X(46) = (X(46)-JVS(200)*X(113)-JVS(201)*X(154)-JVS(202)*X(157))/(JVS(199))
  X(45) = (X(45)-JVS(196)*X(106)-JVS(197)*X(154)-JVS(198)*X(157))/(JVS(195))
  X(44) = (X(44)-JVS(192)*X(154)-JVS(193)*X(156)-JVS(194)*X(157))/(JVS(191))
  X(43) = (X(43)-JVS(190)*X(154))/(JVS(189))
  X(42) = (X(42)-JVS(188)*X(154))/(JVS(187))
  X(41) = (X(41)-JVS(185)*X(156)-JVS(186)*X(158))/(JVS(184))
  X(40) = (X(40)-JVS(179)*X(95)-JVS(180)*X(149)-JVS(181)*X(154)-JVS(182)*X(155)-JVS(183)*X(158))/(JVS(178))
  X(39) = (X(39)-JVS(175)*X(98)-JVS(176)*X(154)-JVS(177)*X(157))/(JVS(174))
  X(38) = (X(38)-JVS(171)*X(151)-JVS(172)*X(154)-JVS(173)*X(157))/(JVS(170))
  X(37) = (X(37)-JVS(167)*X(126)-JVS(168)*X(153)-JVS(169)*X(154))/(JVS(166))
  X(36) = (X(36)-JVS(164)*X(149)-JVS(165)*X(154))/(JVS(163))
  X(35) = (X(35)-JVS(161)*X(149)-JVS(162)*X(154))/(JVS(160))
  X(34) = (X(34)-JVS(156)*X(69)-JVS(157)*X(74)-JVS(158)*X(97)-JVS(159)*X(154))/(JVS(155))
  X(33) = (X(33)-JVS(151)*X(69)-JVS(152)*X(74)-JVS(153)*X(97)-JVS(154)*X(154))/(JVS(150))
  X(32) = (X(32)-JVS(149)*X(154))/(JVS(148))
  X(31) = (X(31)-JVS(145)*X(103)-JVS(146)*X(152)-JVS(147)*X(154))/(JVS(144))
  X(30) = (X(30)-JVS(141)*X(75)-JVS(142)*X(130)-JVS(143)*X(154))/(JVS(140))
  X(29) = (X(29)-JVS(138)*X(132)-JVS(139)*X(158))/(JVS(137))
  X(28) = (X(28)-JVS(135)*X(94)-JVS(136)*X(158))/(JVS(134))
  X(27) = (X(27)-JVS(132)*X(149)-JVS(133)*X(158))/(JVS(131))
  X(26) = (X(26)-JVS(130)*X(65))/(JVS(129))
  X(25) = (X(25)-JVS(128)*X(154))/(JVS(127))
  X(24) = (X(24)-JVS(126)*X(152))/(JVS(125))
  X(23) = (X(23)-JVS(121)*X(79)-JVS(122)*X(149)-JVS(123)*X(152)-JVS(124)*X(154))/(JVS(120))
  X(22) = (X(22)-JVS(117)*X(126)-JVS(118)*X(149)-JVS(119)*X(154))/(JVS(116))
  X(21) = (X(21)-JVS(114)*X(52)-JVS(115)*X(154))/(JVS(113))
  X(20) = (X(20)-JVS(110)*X(51)-JVS(111)*X(149)-JVS(112)*X(154))/(JVS(109))
  X(19) = (X(19)-JVS(106)*X(63)-JVS(107)*X(149)-JVS(108)*X(154))/(JVS(105))
  X(18) = (X(18)-JVS(102)*X(62)-JVS(103)*X(149)-JVS(104)*X(154))/(JVS(101))
  X(17) = (X(17)-JVS(99)*X(100)-JVS(100)*X(154))/(JVS(98))
  X(16) = (X(16)-JVS(96)*X(76)-JVS(97)*X(154))/(JVS(95))
  X(15) = (X(15)-JVS(92)*X(136)-JVS(93)*X(149)-JVS(94)*X(154))/(JVS(91))
  X(14) = (X(14)-JVS(89)*X(134)-JVS(90)*X(154))/(JVS(88))
  X(13) = (X(13)-JVS(85)*X(115)-JVS(86)*X(149)-JVS(87)*X(154))/(JVS(84))
  X(12) = (X(12)-JVS(82)*X(43)-JVS(83)*X(154))/(JVS(81))
  X(11) = (X(11)-JVS(79)*X(42)-JVS(80)*X(154))/(JVS(78))
  X(10) = (X(10)-JVS(76)*X(32)-JVS(77)*X(154))/(JVS(75))
  X(9) = (X(9)-JVS(64)*X(43)-JVS(65)*X(65)-JVS(66)*X(66)-JVS(67)*X(81)-JVS(68)*X(82)-JVS(69)*X(123)-JVS(70)*X(132)&
           &-JVS(71)*X(133)-JVS(72)*X(154)-JVS(73)*X(156)-JVS(74)*X(157))/(JVS(63))
  X(8) = (X(8)-JVS(61)*X(110)-JVS(62)*X(154))/(JVS(60))
  X(7) = (X(7)-JVS(58)*X(102)-JVS(59)*X(149))/(JVS(57))
  X(6) = (X(6)-JVS(55)*X(102)-JVS(56)*X(154))/(JVS(54))
  X(5) = (X(5)-JVS(46)*X(107)-JVS(47)*X(111)-JVS(48)*X(123)-JVS(49)*X(149)-JVS(50)*X(153)-JVS(51)*X(156)-JVS(52)*X(157)&
           &-JVS(53)*X(158))/(JVS(45))
  X(4) = (X(4)-JVS(42)*X(119)-JVS(43)*X(122)-JVS(44)*X(153))/(JVS(41))
  X(3) = (X(3)-JVS(10)*X(39)-JVS(11)*X(48)-JVS(12)*X(61)-JVS(13)*X(67)-JVS(14)*X(72)-JVS(15)*X(76)-JVS(16)*X(80)-JVS(17)&
           &*X(81)-JVS(18)*X(82)-JVS(19)*X(89)-JVS(20)*X(94)-JVS(21)*X(95)-JVS(22)*X(97)-JVS(23)*X(98)-JVS(24)*X(100)&
           &-JVS(25)*X(112)-JVS(26)*X(121)-JVS(27)*X(124)-JVS(28)*X(126)-JVS(29)*X(127)-JVS(30)*X(130)-JVS(31)*X(133)&
           &-JVS(32)*X(139)-JVS(33)*X(140)-JVS(34)*X(150)-JVS(35)*X(151)-JVS(36)*X(152)-JVS(37)*X(153)-JVS(38)*X(154)&
           &-JVS(39)*X(156)-JVS(40)*X(157))/(JVS(9))
  X(2) = (X(2)-JVS(5)*X(69)-JVS(6)*X(74)-JVS(7)*X(75)-JVS(8)*X(154))/(JVS(4))
  X(1) = (X(1)-JVS(2)*X(95)-JVS(3)*X(154))/(JVS(1))
      
END SUBROUTINE KppSolve

! End of KppSolve function
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! KppSolveTR - sparse, transposed back substitution
!   Arguments :
!      JVS       - sparse Jacobian of variables
!      X         - Vector for variables
!      XX        - Vector for output variables
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

SUBROUTINE KppSolveTR ( JVS, X, XX )

! JVS - sparse Jacobian of variables
  REAL(kind=dp) :: JVS(LU_NONZERO)
! X - Vector for variables
  REAL(kind=dp) :: X(NVAR)
! XX - Vector for output variables
  REAL(kind=dp) :: XX(NVAR)

  XX(1) = X(1)/JVS(1)
  XX(2) = X(2)/JVS(4)
  XX(3) = X(3)/JVS(9)
  XX(4) = X(4)/JVS(41)
  XX(5) = X(5)/JVS(45)
  XX(6) = X(6)/JVS(54)
  XX(7) = X(7)/JVS(57)
  XX(8) = X(8)/JVS(60)
  XX(9) = X(9)/JVS(63)
  XX(10) = X(10)/JVS(75)
  XX(11) = X(11)/JVS(78)
  XX(12) = X(12)/JVS(81)
  XX(13) = X(13)/JVS(84)
  XX(14) = X(14)/JVS(88)
  XX(15) = X(15)/JVS(91)
  XX(16) = X(16)/JVS(95)
  XX(17) = X(17)/JVS(98)
  XX(18) = X(18)/JVS(101)
  XX(19) = X(19)/JVS(105)
  XX(20) = X(20)/JVS(109)
  XX(21) = X(21)/JVS(113)
  XX(22) = X(22)/JVS(116)
  XX(23) = X(23)/JVS(120)
  XX(24) = X(24)/JVS(125)
  XX(25) = X(25)/JVS(127)
  XX(26) = X(26)/JVS(129)
  XX(27) = X(27)/JVS(131)
  XX(28) = X(28)/JVS(134)
  XX(29) = X(29)/JVS(137)
  XX(30) = X(30)/JVS(140)
  XX(31) = X(31)/JVS(144)
  XX(32) = (X(32)-JVS(76)*XX(10))/(JVS(148))
  XX(33) = X(33)/JVS(150)
  XX(34) = X(34)/JVS(155)
  XX(35) = X(35)/JVS(160)
  XX(36) = X(36)/JVS(163)
  XX(37) = X(37)/JVS(166)
  XX(38) = X(38)/JVS(170)
  XX(39) = (X(39)-JVS(10)*XX(3))/(JVS(174))
  XX(40) = X(40)/JVS(178)
  XX(41) = X(41)/JVS(184)
  XX(42) = (X(42)-JVS(79)*XX(11))/(JVS(187))
  XX(43) = (X(43)-JVS(64)*XX(9)-JVS(82)*XX(12))/(JVS(189))
  XX(44) = X(44)/JVS(191)
  XX(45) = X(45)/JVS(195)
  XX(46) = X(46)/JVS(199)
  XX(47) = X(47)/JVS(203)
  XX(48) = (X(48)-JVS(11)*XX(3))/(JVS(210))
  XX(49) = X(49)/JVS(214)
  XX(50) = X(50)/JVS(218)
  XX(51) = (X(51)-JVS(110)*XX(20))/(JVS(224))
  XX(52) = (X(52)-JVS(114)*XX(21))/(JVS(228))
  XX(53) = X(53)/JVS(234)
  XX(54) = X(54)/JVS(240)
  XX(55) = X(55)/JVS(245)
  XX(56) = X(56)/JVS(251)
  XX(57) = X(57)/JVS(256)
  XX(58) = X(58)/JVS(266)
  XX(59) = X(59)/JVS(270)
  XX(60) = X(60)/JVS(274)
  XX(61) = (X(61)-JVS(12)*XX(3))/(JVS(280))
  XX(62) = (X(62)-JVS(102)*XX(18))/(JVS(285))
  XX(63) = (X(63)-JVS(106)*XX(19))/(JVS(289))
  XX(64) = X(64)/JVS(292)
  XX(65) = (X(65)-JVS(65)*XX(9)-JVS(130)*XX(26))/(JVS(297))
  XX(66) = (X(66)-JVS(66)*XX(9))/(JVS(302))
  XX(67) = (X(67)-JVS(13)*XX(3))/(JVS(307))
  XX(68) = X(68)/JVS(312)
  XX(69) = (X(69)-JVS(5)*XX(2)-JVS(151)*XX(33)-JVS(156)*XX(34))/(JVS(317))
  XX(70) = X(70)/JVS(321)
  XX(71) = (X(71)-JVS(204)*XX(47))/(JVS(325))
  XX(72) = (X(72)-JVS(14)*XX(3))/(JVS(329))
  XX(73) = X(73)/JVS(336)
  XX(74) = (X(74)-JVS(6)*XX(2)-JVS(152)*XX(33)-JVS(157)*XX(34))/(JVS(342))
  XX(75) = (X(75)-JVS(7)*XX(2)-JVS(141)*XX(30))/(JVS(346))
  XX(76) = (X(76)-JVS(15)*XX(3)-JVS(96)*XX(16))/(JVS(350))
  XX(77) = X(77)/JVS(365)
  XX(78) = X(78)/JVS(370)
  XX(79) = (X(79)-JVS(121)*XX(23))/(JVS(379))
  XX(80) = (X(80)-JVS(16)*XX(3))/(JVS(383))
  XX(81) = (X(81)-JVS(17)*XX(3)-JVS(67)*XX(9)-JVS(351)*XX(76))/(JVS(396))
  XX(82) = (X(82)-JVS(18)*XX(3)-JVS(68)*XX(9)-JVS(352)*XX(76))/(JVS(404))
  XX(83) = (X(83)-JVS(257)*XX(57))/(JVS(408))
  XX(84) = X(84)/JVS(414)
  XX(85) = X(85)/JVS(420)
  XX(86) = X(86)/JVS(429)
  XX(87) = X(87)/JVS(440)
  XX(88) = (X(88)-JVS(258)*XX(57))/(JVS(449))
  XX(89) = (X(89)-JVS(19)*XX(3)-JVS(275)*XX(60))/(JVS(456))
  XX(90) = X(90)/JVS(463)
  XX(91) = (X(91)-JVS(259)*XX(57))/(JVS(478))
  XX(92) = (X(92)-JVS(276)*XX(60))/(JVS(485))
  XX(93) = (X(93)-JVS(260)*XX(57))/(JVS(490))
  XX(94) = (X(94)-JVS(20)*XX(3)-JVS(135)*XX(28)-JVS(353)*XX(76))/(JVS(497))
  XX(95) = (X(95)-JVS(2)*XX(1)-JVS(21)*XX(3)-JVS(179)*XX(40)-JVS(241)*XX(54))/(JVS(504))
  XX(96) = (X(96)-JVS(261)*XX(57)-JVS(308)*XX(67))/(JVS(510))
  XX(97) = (X(97)-JVS(22)*XX(3)-JVS(153)*XX(33)-JVS(158)*XX(34)-JVS(354)*XX(76))/(JVS(516))
  XX(98) = (X(98)-JVS(23)*XX(3)-JVS(175)*XX(39)-JVS(211)*XX(48)-JVS(229)*XX(52)-JVS(430)*XX(86))/(JVS(524))
  XX(99) = X(99)/JVS(537)
  XX(100) = (X(100)-JVS(24)*XX(3)-JVS(99)*XX(17))/(JVS(548))
  XX(101) = (X(101)-JVS(262)*XX(57)-JVS(355)*XX(76))/(JVS(577))
  XX(102) = (X(102)-JVS(55)*XX(6)-JVS(58)*XX(7)-JVS(409)*XX(83)-JVS(511)*XX(96)-JVS(578)*XX(101))/(JVS(586))
  XX(103) = (X(103)-JVS(145)*XX(31)-JVS(450)*XX(88)-JVS(549)*XX(100)-JVS(579)*XX(101))/(JVS(591))
  XX(104) = X(104)/JVS(605)
  XX(105) = X(105)/JVS(626)
  XX(106) = (X(106)-JVS(196)*XX(45)-JVS(464)*XX(90)-JVS(550)*XX(100)-JVS(627)*XX(105))/(JVS(650))
  XX(107) = (X(107)-JVS(46)*XX(5)-JVS(415)*XX(84)-JVS(628)*XX(105))/(JVS(658))
  XX(108) = (X(108)-JVS(230)*XX(52)-JVS(431)*XX(86))/(JVS(669))
  XX(109) = (X(109)-JVS(263)*XX(57))/(JVS(680))
  XX(110) = (X(110)-JVS(61)*XX(8)-JVS(356)*XX(76))/(JVS(690))
  XX(111) = (X(111)-JVS(47)*XX(5)-JVS(416)*XX(84)-JVS(629)*XX(105))/(JVS(699))
  XX(112) = (X(112)-JVS(25)*XX(3)-JVS(313)*XX(68)-JVS(357)*XX(76))/(JVS(712))
  XX(113) = (X(113)-JVS(200)*XX(46)-JVS(441)*XX(87)-JVS(465)*XX(90)-JVS(551)*XX(100)-JVS(630)*XX(105))/(JVS(721))
  XX(114) = (X(114)-JVS(293)*XX(64)-JVS(552)*XX(100)-JVS(631)*XX(105))/(JVS(732))
  XX(115) = (X(115)-JVS(85)*XX(13)-JVS(205)*XX(47)-JVS(606)*XX(104))/(JVS(754))
  XX(116) = (X(116)-JVS(498)*XX(94)-JVS(553)*XX(100))/(JVS(769))
  XX(117) = (X(117)-JVS(267)*XX(58)-JVS(466)*XX(90)-JVS(554)*XX(100)-JVS(632)*XX(105))/(JVS(780))
  XX(118) = (X(118)-JVS(271)*XX(59)-JVS(467)*XX(90)-JVS(555)*XX(100)-JVS(633)*XX(105))/(JVS(791))
  XX(119) = (X(119)-JVS(42)*XX(4)-JVS(358)*XX(76)-JVS(366)*XX(77)-JVS(384)*XX(80)-JVS(691)*XX(110)-JVS(770)*XX(116))&
              &/(JVS(801))
  XX(120) = X(120)/JVS(813)
  XX(121) = (X(121)-JVS(26)*XX(3)-JVS(371)*XX(78)-JVS(556)*XX(100)-JVS(814)*XX(120))/(JVS(828))
  XX(122) = (X(122)-JVS(43)*XX(4)-JVS(367)*XX(77)-JVS(692)*XX(110)-JVS(771)*XX(116)-JVS(802)*XX(119)-JVS(815)*XX(120))&
              &/(JVS(838))
  XX(123) = (X(123)-JVS(48)*XX(5)-JVS(69)*XX(9)-JVS(246)*XX(55)-JVS(505)*XX(95)-JVS(816)*XX(120))/(JVS(845))
  XX(124) = (X(124)-JVS(27)*XX(3)-JVS(468)*XX(90)-JVS(557)*XX(100)-JVS(607)*XX(104))/(JVS(854))
  XX(125) = (X(125)-JVS(219)*XX(50)-JVS(235)*XX(53)-JVS(558)*XX(100)-JVS(634)*XX(105))/(JVS(865))
  XX(126) = (X(126)-JVS(28)*XX(3)-JVS(117)*XX(22)-JVS(167)*XX(37)-JVS(397)*XX(81)-JVS(608)*XX(104)-JVS(681)*XX(109)&
              &-JVS(755)*XX(115))/(JVS(883))
  XX(127) = (X(127)-JVS(29)*XX(3)-JVS(359)*XX(76)-JVS(635)*XX(105)-JVS(756)*XX(115))/(JVS(901))
  XX(128) = (X(128)-JVS(294)*XX(64)-JVS(469)*XX(90)-JVS(559)*XX(100)-JVS(636)*XX(105)-JVS(733)*XX(114))/(JVS(917))
  XX(129) = (X(129)-JVS(322)*XX(70)-JVS(470)*XX(90)-JVS(560)*XX(100)-JVS(637)*XX(105)-JVS(693)*XX(110)-JVS(902)*XX(127))&
              &/(JVS(927))
  XX(130) = (X(130)-JVS(30)*XX(3)-JVS(142)*XX(30)-JVS(236)*XX(53)-JVS(385)*XX(80)-JVS(609)*XX(104)-JVS(638)*XX(105)&
              &-JVS(713)*XX(112)-JVS(757)*XX(115)-JVS(803)*XX(119)-JVS(817)*XX(120)-JVS(839)*XX(122)-JVS(903)*XX(127))&
              &/(JVS(936))
  XX(131) = (X(131)-JVS(206)*XX(47)-JVS(326)*XX(71)-JVS(330)*XX(72)-JVS(337)*XX(73)-JVS(457)*XX(89)-JVS(471)*XX(90)&
              &-JVS(561)*XX(100)-JVS(610)*XX(104)-JVS(639)*XX(105)-JVS(758)*XX(115)-JVS(904)*XX(127))/(JVS(946))
  XX(132) = (X(132)-JVS(70)*XX(9)-JVS(138)*XX(29)-JVS(247)*XX(55)-JVS(866)*XX(125))/(JVS(960))
  XX(133) = (X(133)-JVS(31)*XX(3)-JVS(71)*XX(9)-JVS(372)*XX(78)-JVS(421)*XX(85)-JVS(855)*XX(124))/(JVS(976))
  XX(134) = (X(134)-JVS(89)*XX(14)-JVS(207)*XX(47)-JVS(611)*XX(104))/(JVS(1037))
  XX(135) = (X(135)-JVS(612)*XX(104)-JVS(640)*XX(105)-JVS(659)*XX(107)-JVS(700)*XX(111)-JVS(759)*XX(115)-JVS(818)&
              &*XX(120)-JVS(846)*XX(123)-JVS(905)*XX(127)-JVS(961)*XX(132)-JVS(1038)*XX(134))/(JVS(1061))
  XX(136) = (X(136)-JVS(92)*XX(15)-JVS(613)*XX(104))/(JVS(1098))
  XX(137) = (X(137)-JVS(309)*XX(67)-JVS(472)*XX(90)-JVS(562)*XX(100)-JVS(772)*XX(116)-JVS(1039)*XX(134)-JVS(1099)&
              &*XX(136))/(JVS(1121))
  XX(138) = (X(138)-JVS(479)*XX(91)-JVS(682)*XX(109)-JVS(906)*XX(127)-JVS(947)*XX(131)-JVS(1040)*XX(134)-JVS(1100)&
              &*XX(136))/(JVS(1137))
  XX(139) = (X(139)-JVS(32)*XX(3)-JVS(360)*XX(76)-JVS(563)*XX(100)-JVS(1041)*XX(134)-JVS(1101)*XX(136))/(JVS(1175))
  XX(140) = (X(140)-JVS(33)*XX(3)-JVS(281)*XX(61)-JVS(298)*XX(65)-JVS(303)*XX(66)-JVS(318)*XX(69)-JVS(343)*XX(74)&
              &-JVS(347)*XX(75)-JVS(473)*XX(90)-JVS(486)*XX(92)-JVS(517)*XX(97)-JVS(564)*XX(100)-JVS(614)*XX(104)-JVS(641)&
              &*XX(105)-JVS(694)*XX(110)-JVS(714)*XX(112)-JVS(760)*XX(115)-JVS(773)*XX(116)-JVS(819)*XX(120)-JVS(840)&
              &*XX(122)-JVS(907)*XX(127)-JVS(937)*XX(130)-JVS(948)*XX(131)-JVS(1042)*XX(134)-JVS(1102)*XX(136)-JVS(1138)&
              &*XX(138)-JVS(1176)*XX(139))/(JVS(1196))
  XX(141) = (X(141)-JVS(277)*XX(60)-JVS(442)*XX(87)-JVS(474)*XX(90)-JVS(565)*XX(100)-JVS(642)*XX(105)-JVS(651)*XX(106)&
              &-JVS(722)*XX(113)-JVS(734)*XX(114)-JVS(867)*XX(125)-JVS(1043)*XX(134)-JVS(1103)*XX(136)-JVS(1177)*XX(139))&
              &/(JVS(1212))
  XX(142) = (X(142)-JVS(615)*XX(104)-JVS(1044)*XX(134))/(JVS(1238))
  XX(143) = (X(143)-JVS(417)*XX(84)-JVS(566)*XX(100)-JVS(643)*XX(105)-JVS(938)*XX(130)-JVS(1045)*XX(134)-JVS(1062)&
              &*XX(135)-JVS(1104)*XX(136)-JVS(1139)*XX(138)-JVS(1178)*XX(139)-JVS(1213)*XX(141)-JVS(1239)*XX(142))&
              &/(JVS(1259))
  XX(144) = (X(144)-JVS(475)*XX(90)-JVS(567)*XX(100)-JVS(644)*XX(105)-JVS(1046)*XX(134)-JVS(1214)*XX(141)-JVS(1240)&
              &*XX(142))/(JVS(1274))
  XX(145) = (X(145)-JVS(491)*XX(93)-JVS(580)*XX(101)-JVS(592)*XX(103)-JVS(781)*XX(117)-JVS(792)*XX(118)-JVS(820)*XX(120)&
              &-JVS(928)*XX(129)-JVS(962)*XX(132)-JVS(1047)*XX(134)-JVS(1105)*XX(136)-JVS(1179)*XX(139)-JVS(1241)*XX(142))&
              &/(JVS(1292))
  XX(146) = (X(146)-JVS(443)*XX(87)-JVS(652)*XX(106)-JVS(723)*XX(113)-JVS(735)*XX(114)-JVS(868)*XX(125)-JVS(1048)&
              &*XX(134)-JVS(1106)*XX(136)-JVS(1180)*XX(139)-JVS(1242)*XX(142)-JVS(1275)*XX(144))/(JVS(1311))
  XX(147) = (X(147)-JVS(616)*XX(104)-JVS(869)*XX(125)-JVS(963)*XX(132)-JVS(1049)*XX(134)-JVS(1243)*XX(142))/(JVS(1357))
  XX(148) = (X(148)-JVS(617)*XX(104)-JVS(870)*XX(125)-JVS(918)*XX(128)-JVS(964)*XX(132)-JVS(1050)*XX(134)-JVS(1107)&
              &*XX(136)-JVS(1181)*XX(139)-JVS(1244)*XX(142)-JVS(1312)*XX(146)-JVS(1358)*XX(147))/(JVS(1389))
  XX(149) = (X(149)-JVS(49)*XX(5)-JVS(59)*XX(7)-JVS(86)*XX(13)-JVS(93)*XX(15)-JVS(103)*XX(18)-JVS(107)*XX(19)-JVS(111)&
              &*XX(20)-JVS(118)*XX(22)-JVS(122)*XX(23)-JVS(132)*XX(27)-JVS(161)*XX(35)-JVS(164)*XX(36)-JVS(180)*XX(40)&
              &-JVS(225)*XX(51)-JVS(252)*XX(56)-JVS(286)*XX(62)-JVS(290)*XX(63)-JVS(373)*XX(78)-JVS(380)*XX(79)-JVS(398)&
              &*XX(81)-JVS(405)*XX(82)-JVS(432)*XX(86)-JVS(506)*XX(95)-JVS(525)*XX(98)-JVS(538)*XX(99)-JVS(568)*XX(100)&
              &-JVS(587)*XX(102)-JVS(593)*XX(103)-JVS(618)*XX(104)-JVS(670)*XX(108)-JVS(683)*XX(109)-JVS(701)*XX(111)&
              &-JVS(761)*XX(115)-JVS(782)*XX(117)-JVS(793)*XX(118)-JVS(821)*XX(120)-JVS(829)*XX(121)-JVS(847)*XX(123)&
              &-JVS(856)*XX(124)-JVS(871)*XX(125)-JVS(884)*XX(126)-JVS(908)*XX(127)-JVS(919)*XX(128)-JVS(929)*XX(129)&
              &-JVS(965)*XX(132)-JVS(977)*XX(133)-JVS(1051)*XX(134)-JVS(1063)*XX(135)-JVS(1108)*XX(136)-JVS(1122)*XX(137)&
              &-JVS(1140)*XX(138)-JVS(1182)*XX(139)-JVS(1197)*XX(140)-JVS(1215)*XX(141)-JVS(1245)*XX(142)-JVS(1260)*XX(143)&
              &-JVS(1276)*XX(144)-JVS(1293)*XX(145)-JVS(1313)*XX(146)-JVS(1359)*XX(147)-JVS(1390)*XX(148))/(JVS(1455))
  XX(150) = (X(150)-JVS(34)*XX(3)-JVS(410)*XX(83)-JVS(451)*XX(88)-JVS(480)*XX(91)-JVS(492)*XX(93)-JVS(512)*XX(96)&
              &-JVS(569)*XX(100)-JVS(581)*XX(101)-JVS(684)*XX(109)-JVS(909)*XX(127)-JVS(1052)*XX(134)-JVS(1109)*XX(136)&
              &-JVS(1123)*XX(137)-JVS(1183)*XX(139)-JVS(1246)*XX(142)-JVS(1294)*XX(145)-JVS(1360)*XX(147)-JVS(1391)*XX(148)&
              &-JVS(1456)*XX(149))/(JVS(1522))
  XX(151) = (X(151)-JVS(35)*XX(3)-JVS(171)*XX(38)-JVS(242)*XX(54)-JVS(331)*XX(72)-JVS(338)*XX(73)-JVS(444)*XX(87)&
              &-JVS(458)*XX(89)-JVS(487)*XX(92)-JVS(539)*XX(99)-JVS(570)*XX(100)-JVS(619)*XX(104)-JVS(653)*XX(106)-JVS(724)&
              &*XX(113)-JVS(736)*XX(114)-JVS(762)*XX(115)-JVS(783)*XX(117)-JVS(794)*XX(118)-JVS(822)*XX(120)-JVS(830)&
              &*XX(121)-JVS(857)*XX(124)-JVS(872)*XX(125)-JVS(910)*XX(127)-JVS(920)*XX(128)-JVS(930)*XX(129)-JVS(949)&
              &*XX(131)-JVS(966)*XX(132)-JVS(978)*XX(133)-JVS(1053)*XX(134)-JVS(1064)*XX(135)-JVS(1110)*XX(136)-JVS(1124)&
              &*XX(137)-JVS(1141)*XX(138)-JVS(1184)*XX(139)-JVS(1198)*XX(140)-JVS(1216)*XX(141)-JVS(1247)*XX(142)-JVS(1261)&
              &*XX(143)-JVS(1277)*XX(144)-JVS(1295)*XX(145)-JVS(1314)*XX(146)-JVS(1361)*XX(147)-JVS(1392)*XX(148)-JVS(1457)&
              &*XX(149)-JVS(1523)*XX(150))/(JVS(1579))
  XX(152) = (X(152)-JVS(36)*XX(3)-JVS(123)*XX(23)-JVS(126)*XX(24)-JVS(146)*XX(31)-JVS(237)*XX(53)-JVS(253)*XX(56)&
              &-JVS(332)*XX(72)-JVS(361)*XX(76)-JVS(381)*XX(79)-JVS(386)*XX(80)-JVS(399)*XX(81)-JVS(406)*XX(82)-JVS(411)&
              &*XX(83)-JVS(422)*XX(85)-JVS(433)*XX(86)-JVS(452)*XX(88)-JVS(459)*XX(89)-JVS(481)*XX(91)-JVS(493)*XX(93)&
              &-JVS(513)*XX(96)-JVS(518)*XX(97)-JVS(540)*XX(99)-JVS(571)*XX(100)-JVS(582)*XX(101)-JVS(588)*XX(102)-JVS(594)&
              &*XX(103)-JVS(620)*XX(104)-JVS(645)*XX(105)-JVS(671)*XX(108)-JVS(685)*XX(109)-JVS(695)*XX(110)-JVS(715)&
              &*XX(112)-JVS(763)*XX(115)-JVS(774)*XX(116)-JVS(784)*XX(117)-JVS(795)*XX(118)-JVS(823)*XX(120)-JVS(841)&
              &*XX(122)-JVS(885)*XX(126)-JVS(911)*XX(127)-JVS(931)*XX(129)-JVS(939)*XX(130)-JVS(967)*XX(132)-JVS(979)&
              &*XX(133)-JVS(1054)*XX(134)-JVS(1065)*XX(135)-JVS(1111)*XX(136)-JVS(1125)*XX(137)-JVS(1142)*XX(138)-JVS(1185)&
              &*XX(139)-JVS(1199)*XX(140)-JVS(1217)*XX(141)-JVS(1248)*XX(142)-JVS(1262)*XX(143)-JVS(1278)*XX(144)-JVS(1296)&
              &*XX(145)-JVS(1315)*XX(146)-JVS(1362)*XX(147)-JVS(1393)*XX(148)-JVS(1458)*XX(149)-JVS(1524)*XX(150)-JVS(1580)&
              &*XX(151))/(JVS(1615))
  XX(153) = (X(153)-JVS(37)*XX(3)-JVS(44)*XX(4)-JVS(50)*XX(5)-JVS(168)*XX(37)-JVS(254)*XX(56)-JVS(299)*XX(65)-JVS(304)&
              &*XX(66)-JVS(314)*XX(68)-JVS(333)*XX(72)-JVS(339)*XX(73)-JVS(362)*XX(76)-JVS(387)*XX(80)-JVS(412)*XX(83)&
              &-JVS(434)*XX(86)-JVS(445)*XX(87)-JVS(453)*XX(88)-JVS(460)*XX(89)-JVS(482)*XX(91)-JVS(488)*XX(92)-JVS(494)&
              &*XX(93)-JVS(499)*XX(94)-JVS(514)*XX(96)-JVS(519)*XX(97)-JVS(526)*XX(98)-JVS(541)*XX(99)-JVS(572)*XX(100)&
              &-JVS(583)*XX(101)-JVS(621)*XX(104)-JVS(654)*XX(106)-JVS(660)*XX(107)-JVS(672)*XX(108)-JVS(686)*XX(109)&
              &-JVS(696)*XX(110)-JVS(702)*XX(111)-JVS(716)*XX(112)-JVS(725)*XX(113)-JVS(737)*XX(114)-JVS(764)*XX(115)&
              &-JVS(775)*XX(116)-JVS(785)*XX(117)-JVS(796)*XX(118)-JVS(804)*XX(119)-JVS(824)*XX(120)-JVS(831)*XX(121)&
              &-JVS(842)*XX(122)-JVS(848)*XX(123)-JVS(858)*XX(124)-JVS(873)*XX(125)-JVS(886)*XX(126)-JVS(912)*XX(127)&
              &-JVS(921)*XX(128)-JVS(932)*XX(129)-JVS(940)*XX(130)-JVS(950)*XX(131)-JVS(968)*XX(132)-JVS(980)*XX(133)&
              &-JVS(1055)*XX(134)-JVS(1066)*XX(135)-JVS(1112)*XX(136)-JVS(1126)*XX(137)-JVS(1143)*XX(138)-JVS(1186)*XX(139)&
              &-JVS(1200)*XX(140)-JVS(1218)*XX(141)-JVS(1249)*XX(142)-JVS(1263)*XX(143)-JVS(1279)*XX(144)-JVS(1297)*XX(145)&
              &-JVS(1316)*XX(146)-JVS(1363)*XX(147)-JVS(1394)*XX(148)-JVS(1459)*XX(149)-JVS(1525)*XX(150)-JVS(1581)*XX(151)&
              &-JVS(1616)*XX(152))/(JVS(1678))
  XX(154) = (X(154)-JVS(3)*XX(1)-JVS(8)*XX(2)-JVS(38)*XX(3)-JVS(56)*XX(6)-JVS(62)*XX(8)-JVS(72)*XX(9)-JVS(77)*XX(10)&
              &-JVS(80)*XX(11)-JVS(83)*XX(12)-JVS(87)*XX(13)-JVS(90)*XX(14)-JVS(94)*XX(15)-JVS(97)*XX(16)-JVS(100)*XX(17)&
              &-JVS(104)*XX(18)-JVS(108)*XX(19)-JVS(112)*XX(20)-JVS(115)*XX(21)-JVS(119)*XX(22)-JVS(124)*XX(23)-JVS(128)&
              &*XX(25)-JVS(143)*XX(30)-JVS(147)*XX(31)-JVS(149)*XX(32)-JVS(154)*XX(33)-JVS(159)*XX(34)-JVS(162)*XX(35)&
              &-JVS(165)*XX(36)-JVS(169)*XX(37)-JVS(172)*XX(38)-JVS(176)*XX(39)-JVS(181)*XX(40)-JVS(188)*XX(42)-JVS(190)&
              &*XX(43)-JVS(192)*XX(44)-JVS(197)*XX(45)-JVS(201)*XX(46)-JVS(208)*XX(47)-JVS(212)*XX(48)-JVS(215)*XX(49)&
              &-JVS(220)*XX(50)-JVS(226)*XX(51)-JVS(231)*XX(52)-JVS(238)*XX(53)-JVS(243)*XX(54)-JVS(248)*XX(55)-JVS(264)&
              &*XX(57)-JVS(268)*XX(58)-JVS(272)*XX(59)-JVS(278)*XX(60)-JVS(282)*XX(61)-JVS(287)*XX(62)-JVS(291)*XX(63)&
              &-JVS(295)*XX(64)-JVS(305)*XX(66)-JVS(310)*XX(67)-JVS(315)*XX(68)-JVS(319)*XX(69)-JVS(323)*XX(70)-JVS(327)&
              &*XX(71)-JVS(334)*XX(72)-JVS(340)*XX(73)-JVS(344)*XX(74)-JVS(348)*XX(75)-JVS(363)*XX(76)-JVS(368)*XX(77)&
              &-JVS(374)*XX(78)-JVS(382)*XX(79)-JVS(388)*XX(80)-JVS(400)*XX(81)-JVS(407)*XX(82)-JVS(418)*XX(84)-JVS(423)&
              &*XX(85)-JVS(435)*XX(86)-JVS(446)*XX(87)-JVS(461)*XX(89)-JVS(476)*XX(90)-JVS(500)*XX(94)-JVS(507)*XX(95)&
              &-JVS(520)*XX(97)-JVS(527)*XX(98)-JVS(542)*XX(99)-JVS(573)*XX(100)-JVS(589)*XX(102)-JVS(595)*XX(103)-JVS(622)&
              &*XX(104)-JVS(646)*XX(105)-JVS(655)*XX(106)-JVS(661)*XX(107)-JVS(673)*XX(108)-JVS(687)*XX(109)-JVS(697)&
              &*XX(110)-JVS(717)*XX(112)-JVS(726)*XX(113)-JVS(738)*XX(114)-JVS(765)*XX(115)-JVS(776)*XX(116)-JVS(786)&
              &*XX(117)-JVS(797)*XX(118)-JVS(805)*XX(119)-JVS(825)*XX(120)-JVS(843)*XX(122)-JVS(849)*XX(123)-JVS(859)&
              &*XX(124)-JVS(874)*XX(125)-JVS(887)*XX(126)-JVS(913)*XX(127)-JVS(922)*XX(128)-JVS(933)*XX(129)-JVS(941)&
              &*XX(130)-JVS(951)*XX(131)-JVS(969)*XX(132)-JVS(981)*XX(133)-JVS(1056)*XX(134)-JVS(1067)*XX(135)-JVS(1113)&
              &*XX(136)-JVS(1127)*XX(137)-JVS(1144)*XX(138)-JVS(1187)*XX(139)-JVS(1201)*XX(140)-JVS(1219)*XX(141)-JVS(1250)&
              &*XX(142)-JVS(1264)*XX(143)-JVS(1280)*XX(144)-JVS(1298)*XX(145)-JVS(1317)*XX(146)-JVS(1364)*XX(147)-JVS(1395)&
              &*XX(148)-JVS(1460)*XX(149)-JVS(1526)*XX(150)-JVS(1582)*XX(151)-JVS(1617)*XX(152)-JVS(1679)*XX(153))&
              &/(JVS(1806))
  XX(155) = (X(155)-JVS(182)*XX(40)-JVS(375)*XX(78)-JVS(483)*XX(91)-JVS(508)*XX(95)-JVS(584)*XX(101)-JVS(623)*XX(104)&
              &-JVS(832)*XX(121)-JVS(860)*XX(124)-JVS(982)*XX(133)-JVS(1057)*XX(134)-JVS(1114)*XX(136)-JVS(1128)*XX(137)&
              &-JVS(1188)*XX(139)-JVS(1318)*XX(146)-JVS(1365)*XX(147)-JVS(1396)*XX(148)-JVS(1461)*XX(149)-JVS(1527)*XX(150)&
              &-JVS(1583)*XX(151)-JVS(1618)*XX(152)-JVS(1680)*XX(153)-JVS(1807)*XX(154))/(JVS(1824))
  XX(156) = (X(156)-JVS(39)*XX(3)-JVS(51)*XX(5)-JVS(73)*XX(9)-JVS(185)*XX(41)-JVS(193)*XX(44)-JVS(209)*XX(47)-JVS(239)&
              &*XX(53)-JVS(436)*XX(86)-JVS(447)*XX(87)-JVS(477)*XX(90)-JVS(528)*XX(98)-JVS(543)*XX(99)-JVS(574)*XX(100)&
              &-JVS(647)*XX(105)-JVS(656)*XX(106)-JVS(662)*XX(107)-JVS(674)*XX(108)-JVS(703)*XX(111)-JVS(727)*XX(113)&
              &-JVS(739)*XX(114)-JVS(766)*XX(115)-JVS(787)*XX(117)-JVS(798)*XX(118)-JVS(826)*XX(120)-JVS(833)*XX(121)&
              &-JVS(861)*XX(124)-JVS(875)*XX(125)-JVS(888)*XX(126)-JVS(914)*XX(127)-JVS(923)*XX(128)-JVS(934)*XX(129)&
              &-JVS(942)*XX(130)-JVS(952)*XX(131)-JVS(970)*XX(132)-JVS(983)*XX(133)-JVS(1058)*XX(134)-JVS(1068)*XX(135)&
              &-JVS(1115)*XX(136)-JVS(1129)*XX(137)-JVS(1145)*XX(138)-JVS(1189)*XX(139)-JVS(1202)*XX(140)-JVS(1220)*XX(141)&
              &-JVS(1251)*XX(142)-JVS(1265)*XX(143)-JVS(1281)*XX(144)-JVS(1299)*XX(145)-JVS(1319)*XX(146)-JVS(1366)*XX(147)&
              &-JVS(1397)*XX(148)-JVS(1462)*XX(149)-JVS(1528)*XX(150)-JVS(1584)*XX(151)-JVS(1619)*XX(152)-JVS(1681)*XX(153)&
              &-JVS(1808)*XX(154)-JVS(1825)*XX(155))/(JVS(1883))
  XX(157) = (X(157)-JVS(40)*XX(3)-JVS(52)*XX(5)-JVS(74)*XX(9)-JVS(173)*XX(38)-JVS(177)*XX(39)-JVS(194)*XX(44)-JVS(198)&
              &*XX(45)-JVS(202)*XX(46)-JVS(216)*XX(49)-JVS(221)*XX(50)-JVS(232)*XX(52)-JVS(249)*XX(55)-JVS(265)*XX(57)&
              &-JVS(269)*XX(58)-JVS(273)*XX(59)-JVS(279)*XX(60)-JVS(296)*XX(64)-JVS(300)*XX(65)-JVS(306)*XX(66)-JVS(311)&
              &*XX(67)-JVS(316)*XX(68)-JVS(320)*XX(69)-JVS(324)*XX(70)-JVS(328)*XX(71)-JVS(341)*XX(73)-JVS(345)*XX(74)&
              &-JVS(349)*XX(75)-JVS(364)*XX(76)-JVS(369)*XX(77)-JVS(376)*XX(78)-JVS(389)*XX(80)-JVS(419)*XX(84)-JVS(437)&
              &*XX(86)-JVS(448)*XX(87)-JVS(462)*XX(89)-JVS(489)*XX(92)-JVS(501)*XX(94)-JVS(529)*XX(98)-JVS(544)*XX(99)&
              &-JVS(575)*XX(100)-JVS(624)*XX(104)-JVS(657)*XX(106)-JVS(663)*XX(107)-JVS(675)*XX(108)-JVS(698)*XX(110)&
              &-JVS(704)*XX(111)-JVS(718)*XX(112)-JVS(728)*XX(113)-JVS(740)*XX(114)-JVS(767)*XX(115)-JVS(777)*XX(116)&
              &-JVS(788)*XX(117)-JVS(799)*XX(118)-JVS(806)*XX(119)-JVS(827)*XX(120)-JVS(834)*XX(121)-JVS(844)*XX(122)&
              &-JVS(850)*XX(123)-JVS(862)*XX(124)-JVS(876)*XX(125)-JVS(889)*XX(126)-JVS(915)*XX(127)-JVS(924)*XX(128)&
              &-JVS(935)*XX(129)-JVS(953)*XX(131)-JVS(971)*XX(132)-JVS(984)*XX(133)-JVS(1059)*XX(134)-JVS(1116)*XX(136)&
              &-JVS(1130)*XX(137)-JVS(1146)*XX(138)-JVS(1190)*XX(139)-JVS(1203)*XX(140)-JVS(1221)*XX(141)-JVS(1252)*XX(142)&
              &-JVS(1266)*XX(143)-JVS(1282)*XX(144)-JVS(1300)*XX(145)-JVS(1320)*XX(146)-JVS(1367)*XX(147)-JVS(1398)*XX(148)&
              &-JVS(1463)*XX(149)-JVS(1529)*XX(150)-JVS(1585)*XX(151)-JVS(1620)*XX(152)-JVS(1682)*XX(153)-JVS(1809)*XX(154)&
              &-JVS(1826)*XX(155)-JVS(1884)*XX(156))/(JVS(1991))
  XX(158) = (X(158)-JVS(53)*XX(5)-JVS(133)*XX(27)-JVS(136)*XX(28)-JVS(139)*XX(29)-JVS(183)*XX(40)-JVS(186)*XX(41)&
              &-JVS(213)*XX(48)-JVS(217)*XX(49)-JVS(233)*XX(52)-JVS(244)*XX(54)-JVS(255)*XX(56)-JVS(413)*XX(83)-JVS(424)&
              &*XX(85)-JVS(438)*XX(86)-JVS(454)*XX(88)-JVS(484)*XX(91)-JVS(495)*XX(93)-JVS(502)*XX(94)-JVS(509)*XX(95)&
              &-JVS(515)*XX(96)-JVS(530)*XX(98)-JVS(576)*XX(100)-JVS(585)*XX(101)-JVS(625)*XX(104)-JVS(676)*XX(108)-JVS(688)&
              &*XX(109)-JVS(851)*XX(123)-JVS(890)*XX(126)-JVS(916)*XX(127)-JVS(972)*XX(132)-JVS(985)*XX(133)-JVS(1060)&
              &*XX(134)-JVS(1117)*XX(136)-JVS(1131)*XX(137)-JVS(1191)*XX(139)-JVS(1253)*XX(142)-JVS(1283)*XX(144)-JVS(1301)&
              &*XX(145)-JVS(1321)*XX(146)-JVS(1368)*XX(147)-JVS(1399)*XX(148)-JVS(1464)*XX(149)-JVS(1530)*XX(150)-JVS(1586)&
              &*XX(151)-JVS(1621)*XX(152)-JVS(1683)*XX(153)-JVS(1810)*XX(154)-JVS(1827)*XX(155)-JVS(1885)*XX(156)-JVS(1992)&
              &*XX(157))/(JVS(2079))
  XX(158) = XX(158)
  XX(157) = XX(157)-JVS(2078)*XX(158)
  XX(156) = XX(156)-JVS(1990)*XX(157)-JVS(2077)*XX(158)
  XX(155) = XX(155)-JVS(1882)*XX(156)-JVS(1989)*XX(157)-JVS(2076)*XX(158)
  XX(154) = XX(154)-JVS(1823)*XX(155)-JVS(1881)*XX(156)-JVS(1988)*XX(157)-JVS(2075)*XX(158)
  XX(153) = XX(153)-JVS(1805)*XX(154)-JVS(1822)*XX(155)-JVS(1880)*XX(156)-JVS(1987)*XX(157)-JVS(2074)*XX(158)
  XX(152) = XX(152)-JVS(1677)*XX(153)-JVS(1804)*XX(154)-JVS(1821)*XX(155)-JVS(1879)*XX(156)-JVS(1986)*XX(157)-JVS(2073)&
              &*XX(158)
  XX(151) = XX(151)-JVS(1614)*XX(152)-JVS(1676)*XX(153)-JVS(1803)*XX(154)-JVS(1820)*XX(155)-JVS(1878)*XX(156)-JVS(1985)&
              &*XX(157)-JVS(2072)*XX(158)
  XX(150) = XX(150)-JVS(1578)*XX(151)-JVS(1613)*XX(152)-JVS(1675)*XX(153)-JVS(1802)*XX(154)-JVS(1819)*XX(155)-JVS(1877)&
              &*XX(156)-JVS(1984)*XX(157)-JVS(2071)*XX(158)
  XX(149) = XX(149)-JVS(1521)*XX(150)-JVS(1577)*XX(151)-JVS(1612)*XX(152)-JVS(1674)*XX(153)-JVS(1801)*XX(154)-JVS(1818)&
              &*XX(155)-JVS(1876)*XX(156)-JVS(1983)*XX(157)-JVS(2070)*XX(158)
  XX(148) = XX(148)-JVS(1454)*XX(149)-JVS(1520)*XX(150)-JVS(1576)*XX(151)-JVS(1611)*XX(152)-JVS(1673)*XX(153)-JVS(1800)&
              &*XX(154)-JVS(1875)*XX(156)-JVS(1982)*XX(157)-JVS(2069)*XX(158)
  XX(147) = XX(147)-JVS(1453)*XX(149)-JVS(1519)*XX(150)-JVS(1575)*XX(151)-JVS(1610)*XX(152)-JVS(1672)*XX(153)-JVS(1799)&
              &*XX(154)-JVS(1874)*XX(156)-JVS(1981)*XX(157)-JVS(2068)*XX(158)
  XX(146) = XX(146)-JVS(1356)*XX(147)-JVS(1388)*XX(148)-JVS(1452)*XX(149)-JVS(1518)*XX(150)-JVS(1574)*XX(151)-JVS(1671)&
              &*XX(153)-JVS(1798)*XX(154)-JVS(1873)*XX(156)-JVS(1980)*XX(157)-JVS(2067)*XX(158)
  XX(145) = XX(145)-JVS(1355)*XX(147)-JVS(1387)*XX(148)-JVS(1451)*XX(149)-JVS(1517)*XX(150)-JVS(1573)*XX(151)-JVS(1609)&
              &*XX(152)-JVS(1670)*XX(153)-JVS(1797)*XX(154)-JVS(1872)*XX(156)-JVS(1979)*XX(157)-JVS(2066)*XX(158)
  XX(144) = XX(144)-JVS(1310)*XX(146)-JVS(1354)*XX(147)-JVS(1386)*XX(148)-JVS(1450)*XX(149)-JVS(1516)*XX(150)-JVS(1572)&
              &*XX(151)-JVS(1669)*XX(153)-JVS(1796)*XX(154)-JVS(1871)*XX(156)-JVS(1978)*XX(157)-JVS(2065)*XX(158)
  XX(143) = XX(143)-JVS(1273)*XX(144)-JVS(1291)*XX(145)-JVS(1309)*XX(146)-JVS(1353)*XX(147)-JVS(1385)*XX(148)-JVS(1449)&
              &*XX(149)-JVS(1515)*XX(150)-JVS(1571)*XX(151)-JVS(1608)*XX(152)-JVS(1668)*XX(153)-JVS(1795)*XX(154)-JVS(1817)&
              &*XX(155)-JVS(1870)*XX(156)-JVS(1977)*XX(157)-JVS(2064)*XX(158)
  XX(142) = XX(142)-JVS(1448)*XX(149)-JVS(1514)*XX(150)-JVS(1570)*XX(151)-JVS(1794)*XX(154)-JVS(1869)*XX(156)-JVS(1976)&
              &*XX(157)-JVS(2063)*XX(158)
  XX(141) = XX(141)-JVS(1237)*XX(142)-JVS(1308)*XX(146)-JVS(1352)*XX(147)-JVS(1384)*XX(148)-JVS(1447)*XX(149)-JVS(1513)&
              &*XX(150)-JVS(1569)*XX(151)-JVS(1667)*XX(153)-JVS(1793)*XX(154)-JVS(1868)*XX(156)-JVS(1975)*XX(157)-JVS(2062)&
              &*XX(158)
  XX(140) = XX(140)-JVS(1211)*XX(141)-JVS(1236)*XX(142)-JVS(1272)*XX(144)-JVS(1290)*XX(145)-JVS(1351)*XX(147)-JVS(1383)&
              &*XX(148)-JVS(1446)*XX(149)-JVS(1512)*XX(150)-JVS(1568)*XX(151)-JVS(1607)*XX(152)-JVS(1666)*XX(153)-JVS(1792)&
              &*XX(154)-JVS(1816)*XX(155)-JVS(1867)*XX(156)-JVS(1974)*XX(157)-JVS(2061)*XX(158)
  XX(139) = XX(139)-JVS(1445)*XX(149)-JVS(1511)*XX(150)-JVS(1567)*XX(151)-JVS(1791)*XX(154)-JVS(1866)*XX(156)-JVS(1973)&
              &*XX(157)-JVS(2060)*XX(158)
  XX(138) = XX(138)-JVS(1174)*XX(139)-JVS(1210)*XX(141)-JVS(1350)*XX(147)-JVS(1382)*XX(148)-JVS(1444)*XX(149)-JVS(1510)&
              &*XX(150)-JVS(1566)*XX(151)-JVS(1606)*XX(152)-JVS(1665)*XX(153)-JVS(1790)*XX(154)-JVS(1865)*XX(156)-JVS(1972)&
              &*XX(157)-JVS(2059)*XX(158)
  XX(137) = XX(137)-JVS(1173)*XX(139)-JVS(1349)*XX(147)-JVS(1381)*XX(148)-JVS(1443)*XX(149)-JVS(1509)*XX(150)-JVS(1565)&
              &*XX(151)-JVS(1664)*XX(153)-JVS(1789)*XX(154)-JVS(1864)*XX(156)-JVS(1971)*XX(157)-JVS(2058)*XX(158)
  XX(136) = XX(136)-JVS(1442)*XX(149)-JVS(1508)*XX(150)-JVS(1564)*XX(151)-JVS(1788)*XX(154)-JVS(1970)*XX(157)-JVS(2057)&
              &*XX(158)
  XX(135) = XX(135)-JVS(1097)*XX(136)-JVS(1172)*XX(139)-JVS(1235)*XX(142)-JVS(1258)*XX(143)-JVS(1307)*XX(146)-JVS(1348)&
              &*XX(147)-JVS(1380)*XX(148)-JVS(1441)*XX(149)-JVS(1507)*XX(150)-JVS(1563)*XX(151)-JVS(1605)*XX(152)-JVS(1663)&
              &*XX(153)-JVS(1787)*XX(154)-JVS(1863)*XX(156)-JVS(1969)*XX(157)-JVS(2056)*XX(158)
  XX(134) = XX(134)-JVS(1440)*XX(149)-JVS(1506)*XX(150)-JVS(1786)*XX(154)-JVS(1968)*XX(157)-JVS(2055)*XX(158)
  XX(133) = XX(133)-JVS(1036)*XX(134)-JVS(1171)*XX(139)-JVS(1347)*XX(147)-JVS(1379)*XX(148)-JVS(1439)*XX(149)-JVS(1505)&
              &*XX(150)-JVS(1562)*XX(151)-JVS(1604)*XX(152)-JVS(1662)*XX(153)-JVS(1785)*XX(154)-JVS(1862)*XX(156)-JVS(1967)&
              &*XX(157)-JVS(2054)*XX(158)
  XX(132) = XX(132)-JVS(1035)*XX(134)-JVS(1234)*XX(142)-JVS(1561)*XX(151)-JVS(1603)*XX(152)-JVS(1661)*XX(153)-JVS(1784)&
              &*XX(154)-JVS(1861)*XX(156)-JVS(1966)*XX(157)-JVS(2053)*XX(158)
  XX(131) = XX(131)-JVS(1034)*XX(134)-JVS(1096)*XX(136)-JVS(1170)*XX(139)-JVS(1209)*XX(141)-JVS(1346)*XX(147)-JVS(1378)&
              &*XX(148)-JVS(1438)*XX(149)-JVS(1504)*XX(150)-JVS(1560)*XX(151)-JVS(1602)*XX(152)-JVS(1660)*XX(153)-JVS(1783)&
              &*XX(154)-JVS(1860)*XX(156)-JVS(1965)*XX(157)-JVS(2052)*XX(158)
  XX(130) = XX(130)-JVS(1033)*XX(134)-JVS(1095)*XX(136)-JVS(1136)*XX(138)-JVS(1169)*XX(139)-JVS(1233)*XX(142)-JVS(1271)&
              &*XX(144)-JVS(1345)*XX(147)-JVS(1437)*XX(149)-JVS(1503)*XX(150)-JVS(1559)*XX(151)-JVS(1601)*XX(152)-JVS(1659)&
              &*XX(153)-JVS(1782)*XX(154)-JVS(1859)*XX(156)-JVS(1964)*XX(157)-JVS(2051)*XX(158)
  XX(129) = XX(129)-JVS(1032)*XX(134)-JVS(1094)*XX(136)-JVS(1344)*XX(147)-JVS(1377)*XX(148)-JVS(1436)*XX(149)-JVS(1502)&
              &*XX(150)-JVS(1558)*XX(151)-JVS(1658)*XX(153)-JVS(1781)*XX(154)-JVS(1858)*XX(156)-JVS(1963)*XX(157)-JVS(2050)&
              &*XX(158)
  XX(128) = XX(128)-JVS(1031)*XX(134)-JVS(1093)*XX(136)-JVS(1168)*XX(139)-JVS(1232)*XX(142)-JVS(1306)*XX(146)-JVS(1343)&
              &*XX(147)-JVS(1376)*XX(148)-JVS(1557)*XX(151)-JVS(1657)*XX(153)-JVS(1780)*XX(154)-JVS(1857)*XX(156)-JVS(1962)&
              &*XX(157)-JVS(2049)*XX(158)
  XX(127) = XX(127)-JVS(1030)*XX(134)-JVS(1435)*XX(149)-JVS(1501)*XX(150)-JVS(1779)*XX(154)-JVS(1961)*XX(157)-JVS(2048)&
              &*XX(158)
  XX(126) = XX(126)-JVS(900)*XX(127)-JVS(959)*XX(132)-JVS(1029)*XX(134)-JVS(1167)*XX(139)-JVS(1270)*XX(144)-JVS(1342)&
              &*XX(147)-JVS(1434)*XX(149)-JVS(1500)*XX(150)-JVS(1600)*XX(152)-JVS(1656)*XX(153)-JVS(1778)*XX(154)-JVS(1960)&
              &*XX(157)-JVS(2047)*XX(158)
  XX(125) = XX(125)-JVS(1028)*XX(134)-JVS(1231)*XX(142)-JVS(1556)*XX(151)-JVS(1655)*XX(153)-JVS(1777)*XX(154)-JVS(1856)&
              &*XX(156)-JVS(1959)*XX(157)-JVS(2046)*XX(158)
  XX(124) = XX(124)-JVS(1027)*XX(134)-JVS(1166)*XX(139)-JVS(1341)*XX(147)-JVS(1375)*XX(148)-JVS(1433)*XX(149)-JVS(1555)&
              &*XX(151)-JVS(1654)*XX(153)-JVS(1776)*XX(154)-JVS(1855)*XX(156)-JVS(1958)*XX(157)-JVS(2045)*XX(158)
  XX(123) = XX(123)-JVS(958)*XX(132)-JVS(1026)*XX(134)-JVS(1092)*XX(136)-JVS(1165)*XX(139)-JVS(1230)*XX(142)-JVS(1432)&
              &*XX(149)-JVS(1499)*XX(150)-JVS(1554)*XX(151)-JVS(1599)*XX(152)-JVS(1653)*XX(153)-JVS(1775)*XX(154)-JVS(1854)&
              &*XX(156)-JVS(1957)*XX(157)-JVS(2044)*XX(158)
  XX(122) = XX(122)-JVS(899)*XX(127)-JVS(1025)*XX(134)-JVS(1091)*XX(136)-JVS(1164)*XX(139)-JVS(1269)*XX(144)-JVS(1340)&
              &*XX(147)-JVS(1431)*XX(149)-JVS(1498)*XX(150)-JVS(1553)*XX(151)-JVS(1652)*XX(153)-JVS(1774)*XX(154)-JVS(1853)&
              &*XX(156)-JVS(1956)*XX(157)-JVS(2043)*XX(158)
  XX(121) = XX(121)-JVS(853)*XX(124)-JVS(975)*XX(133)-JVS(1024)*XX(134)-JVS(1090)*XX(136)-JVS(1305)*XX(146)-JVS(1339)&
              &*XX(147)-JVS(1497)*XX(150)-JVS(1552)*XX(151)-JVS(1651)*XX(153)-JVS(1773)*XX(154)-JVS(1852)*XX(156)-JVS(1955)&
              &*XX(157)-JVS(2042)*XX(158)
  XX(120) = XX(120)-JVS(1023)*XX(134)-JVS(1089)*XX(136)-JVS(1496)*XX(150)-JVS(1772)*XX(154)-JVS(1851)*XX(156)-JVS(2041)&
              &*XX(158)
  XX(119) = XX(119)-JVS(812)*XX(120)-JVS(837)*XX(122)-JVS(898)*XX(127)-JVS(1022)*XX(134)-JVS(1088)*XX(136)-JVS(1163)&
              &*XX(139)-JVS(1268)*XX(144)-JVS(1338)*XX(147)-JVS(1430)*XX(149)-JVS(1495)*XX(150)-JVS(1551)*XX(151)-JVS(1650)&
              &*XX(153)-JVS(1771)*XX(154)-JVS(1850)*XX(156)-JVS(1954)*XX(157)-JVS(2040)*XX(158)
  XX(118) = XX(118)-JVS(811)*XX(120)-JVS(1021)*XX(134)-JVS(1229)*XX(142)-JVS(1337)*XX(147)-JVS(1550)*XX(151)-JVS(1649)&
              &*XX(153)-JVS(1770)*XX(154)-JVS(1849)*XX(156)-JVS(1953)*XX(157)-JVS(2039)*XX(158)
  XX(117) = XX(117)-JVS(1020)*XX(134)-JVS(1162)*XX(139)-JVS(1228)*XX(142)-JVS(1336)*XX(147)-JVS(1549)*XX(151)-JVS(1648)&
              &*XX(153)-JVS(1769)*XX(154)-JVS(1848)*XX(156)-JVS(1952)*XX(157)-JVS(2038)*XX(158)
  XX(116) = XX(116)-JVS(1019)*XX(134)-JVS(1087)*XX(136)-JVS(1161)*XX(139)-JVS(1429)*XX(149)-JVS(1494)*XX(150)-JVS(1647)&
              &*XX(153)-JVS(1768)*XX(154)-JVS(1847)*XX(156)-JVS(1951)*XX(157)-JVS(2037)*XX(158)
  XX(115) = XX(115)-JVS(1018)*XX(134)-JVS(1428)*XX(149)-JVS(1493)*XX(150)-JVS(1767)*XX(154)-JVS(1950)*XX(157)-JVS(2036)&
              &*XX(158)
  XX(114) = XX(114)-JVS(1017)*XX(134)-JVS(1086)*XX(136)-JVS(1160)*XX(139)-JVS(1548)*XX(151)-JVS(1646)*XX(153)-JVS(1766)&
              &*XX(154)-JVS(1846)*XX(156)-JVS(1949)*XX(157)-JVS(2035)*XX(158)
  XX(113) = XX(113)-JVS(731)*XX(114)-JVS(1016)*XX(134)-JVS(1335)*XX(147)-JVS(1492)*XX(150)-JVS(1547)*XX(151)-JVS(1645)&
              &*XX(153)-JVS(1765)*XX(154)-JVS(1845)*XX(156)-JVS(1948)*XX(157)-JVS(2034)*XX(158)
  XX(112) = XX(112)-JVS(753)*XX(115)-JVS(897)*XX(127)-JVS(1015)*XX(134)-JVS(1085)*XX(136)-JVS(1159)*XX(139)-JVS(1491)&
              &*XX(150)-JVS(1546)*XX(151)-JVS(1644)*XX(153)-JVS(1764)*XX(154)-JVS(1947)*XX(157)-JVS(2033)*XX(158)
  XX(111) = XX(111)-JVS(752)*XX(115)-JVS(810)*XX(120)-JVS(1014)*XX(134)-JVS(1257)*XX(143)-JVS(1304)*XX(146)-JVS(1334)&
              &*XX(147)-JVS(1374)*XX(148)-JVS(1427)*XX(149)-JVS(1643)*XX(153)-JVS(1763)*XX(154)-JVS(1844)*XX(156)-JVS(1946)&
              &*XX(157)-JVS(2032)*XX(158)
  XX(110) = XX(110)-JVS(896)*XX(127)-JVS(1013)*XX(134)-JVS(1084)*XX(136)-JVS(1426)*XX(149)-JVS(1545)*XX(151)-JVS(1762)&
              &*XX(154)-JVS(1945)*XX(157)-JVS(2031)*XX(158)
  XX(109) = XX(109)-JVS(895)*XX(127)-JVS(1158)*XX(139)-JVS(1425)*XX(149)-JVS(1490)*XX(150)-JVS(1642)*XX(153)-JVS(1761)&
              &*XX(154)-JVS(1944)*XX(157)-JVS(2030)*XX(158)
  XX(108) = XX(108)-JVS(882)*XX(126)-JVS(1012)*XX(134)-JVS(1424)*XX(149)-JVS(1598)*XX(152)-JVS(1641)*XX(153)-JVS(1760)&
              &*XX(154)-JVS(1843)*XX(156)-JVS(1943)*XX(157)-JVS(2029)*XX(158)
  XX(107) = XX(107)-JVS(751)*XX(115)-JVS(809)*XX(120)-JVS(1011)*XX(134)-JVS(1256)*XX(143)-JVS(1303)*XX(146)-JVS(1333)&
              &*XX(147)-JVS(1373)*XX(148)-JVS(1640)*XX(153)-JVS(1759)*XX(154)-JVS(1842)*XX(156)-JVS(1942)*XX(157)-JVS(2028)&
              &*XX(158)
  XX(106) = XX(106)-JVS(1010)*XX(134)-JVS(1332)*XX(147)-JVS(1544)*XX(151)-JVS(1639)*XX(153)-JVS(1758)*XX(154)-JVS(1841)&
              &*XX(156)-JVS(1941)*XX(157)-JVS(2027)*XX(158)
  XX(105) = XX(105)-JVS(1009)*XX(134)-JVS(1757)*XX(154)-JVS(1940)*XX(157)
  XX(104) = XX(104)-JVS(1423)*XX(149)-JVS(1756)*XX(154)-JVS(2026)*XX(158)
  XX(103) = XX(103)-JVS(779)*XX(117)-JVS(790)*XX(118)-JVS(1008)*XX(134)-JVS(1227)*XX(142)-JVS(1422)*XX(149)-JVS(1489)&
              &*XX(150)-JVS(1597)*XX(152)-JVS(1638)*XX(153)-JVS(1755)*XX(154)-JVS(1840)*XX(156)-JVS(1939)*XX(157)-JVS(2025)&
              &*XX(158)
  XX(102) = XX(102)-JVS(590)*XX(103)-JVS(926)*XX(129)-JVS(1007)*XX(134)-JVS(1120)*XX(137)-JVS(1157)*XX(139)-JVS(1195)&
              &*XX(140)-JVS(1255)*XX(143)-JVS(1289)*XX(145)-JVS(1421)*XX(149)-JVS(1488)*XX(150)-JVS(1543)*XX(151)-JVS(1596)&
              &*XX(152)-JVS(1637)*XX(153)-JVS(1754)*XX(154)-JVS(1815)*XX(155)-JVS(1839)*XX(156)-JVS(1938)*XX(157)-JVS(2024)&
              &*XX(158)
  XX(101) = XX(101)-JVS(1006)*XX(134)-JVS(1420)*XX(149)-JVS(1487)*XX(150)-JVS(1636)*XX(153)-JVS(1753)*XX(154)-JVS(1937)&
              &*XX(157)-JVS(2023)*XX(158)
  XX(100) = XX(100)-JVS(1752)*XX(154)-JVS(1838)*XX(156)
  XX(99) = XX(99)-JVS(1005)*XX(134)-JVS(1419)*XX(149)-JVS(1542)*XX(151)-JVS(1635)*XX(153)-JVS(1751)*XX(154)-JVS(1837)&
             &*XX(156)-JVS(1936)*XX(157)-JVS(2022)*XX(158)
  XX(98) = XX(98)-JVS(668)*XX(108)-JVS(881)*XX(126)-JVS(1004)*XX(134)-JVS(1595)*XX(152)-JVS(1634)*XX(153)-JVS(1750)&
             &*XX(154)-JVS(1836)*XX(156)-JVS(1935)*XX(157)-JVS(2021)*XX(158)
  XX(97) = XX(97)-JVS(604)*XX(104)-JVS(689)*XX(110)-JVS(711)*XX(112)-JVS(768)*XX(116)-JVS(808)*XX(120)-JVS(836)*XX(122)&
             &-JVS(1003)*XX(134)-JVS(1135)*XX(138)-JVS(1486)*XX(150)-JVS(1594)*XX(152)-JVS(1749)*XX(154)-JVS(1934)*XX(157)&
             &-JVS(2020)*XX(158)
  XX(96) = XX(96)-JVS(1002)*XX(134)-JVS(1119)*XX(137)-JVS(1156)*XX(139)-JVS(1418)*XX(149)-JVS(1485)*XX(150)-JVS(1633)&
             &*XX(153)-JVS(1748)*XX(154)-JVS(1814)*XX(155)-JVS(1933)*XX(157)-JVS(2019)*XX(158)
  XX(95) = XX(95)-JVS(1001)*XX(134)-JVS(1155)*XX(139)-JVS(1417)*XX(149)-JVS(1484)*XX(150)-JVS(1541)*XX(151)-JVS(1747)&
             &*XX(154)-JVS(1835)*XX(156)-JVS(1932)*XX(157)-JVS(2018)*XX(158)
  XX(94) = XX(94)-JVS(547)*XX(100)-JVS(1000)*XX(134)-JVS(1083)*XX(136)-JVS(1154)*XX(139)-JVS(1416)*XX(149)-JVS(1632)&
             &*XX(153)-JVS(1746)*XX(154)-JVS(1931)*XX(157)-JVS(2017)*XX(158)
  XX(93) = XX(93)-JVS(1082)*XX(136)-JVS(1415)*XX(149)-JVS(1483)*XX(150)-JVS(1540)*XX(151)-JVS(1631)*XX(153)-JVS(1745)&
             &*XX(154)-JVS(1834)*XX(156)-JVS(1930)*XX(157)-JVS(2016)*XX(158)
  XX(92) = XX(92)-JVS(603)*XX(104)-JVS(750)*XX(115)-JVS(894)*XX(127)-JVS(1081)*XX(136)-JVS(1153)*XX(139)-JVS(1208)&
             &*XX(141)-JVS(1331)*XX(147)-JVS(1630)*XX(153)-JVS(1744)*XX(154)-JVS(1929)*XX(157)-JVS(2015)*XX(158)
  XX(91) = XX(91)-JVS(1080)*XX(136)-JVS(1414)*XX(149)-JVS(1482)*XX(150)-JVS(1629)*XX(153)-JVS(1743)*XX(154)-JVS(1928)&
             &*XX(157)-JVS(2014)*XX(158)
  XX(90) = XX(90)-JVS(1330)*XX(147)-JVS(1742)*XX(154)-JVS(1927)*XX(157)
  XX(89) = XX(89)-JVS(602)*XX(104)-JVS(1207)*XX(141)-JVS(1329)*XX(147)-JVS(1628)*XX(153)-JVS(1741)*XX(154)-JVS(1926)&
             &*XX(157)-JVS(2013)*XX(158)
  XX(88) = XX(88)-JVS(546)*XX(100)-JVS(1226)*XX(142)-JVS(1413)*XX(149)-JVS(1481)*XX(150)-JVS(1627)*XX(153)-JVS(1740)&
             &*XX(154)-JVS(1925)*XX(157)-JVS(2012)*XX(158)
  XX(87) = XX(87)-JVS(730)*XX(114)-JVS(1480)*XX(150)-JVS(1539)*XX(151)-JVS(1739)*XX(154)-JVS(1833)*XX(156)
  XX(86) = XX(86)-JVS(667)*XX(108)-JVS(880)*XX(126)-JVS(1593)*XX(152)-JVS(2011)*XX(158)
  XX(85) = XX(85)-JVS(974)*XX(133)-JVS(999)*XX(134)-JVS(1152)*XX(139)-JVS(1412)*XX(149)-JVS(1479)*XX(150)-JVS(1538)&
             &*XX(151)-JVS(1592)*XX(152)-JVS(1738)*XX(154)-JVS(2010)*XX(158)
  XX(84) = XX(84)-JVS(1254)*XX(143)-JVS(1302)*XX(146)-JVS(1328)*XX(147)-JVS(1372)*XX(148)-JVS(1737)*XX(154)-JVS(1924)&
             &*XX(157)-JVS(2009)*XX(158)
  XX(83) = XX(83)-JVS(1288)*XX(145)-JVS(1411)*XX(149)-JVS(1478)*XX(150)-JVS(1626)*XX(153)-JVS(1736)*XX(154)-JVS(1923)&
             &*XX(157)-JVS(2008)*XX(158)
  XX(82) = XX(82)-JVS(545)*XX(100)-JVS(679)*XX(109)-JVS(957)*XX(132)-JVS(1079)*XX(136)-JVS(1206)*XX(141)-JVS(1287)&
             &*XX(145)-JVS(1327)*XX(147)-JVS(1477)*XX(150)-JVS(1591)*XX(152)-JVS(1735)*XX(154)-JVS(1922)*XX(157)
  XX(81) = XX(81)-JVS(678)*XX(109)-JVS(749)*XX(115)-JVS(956)*XX(132)-JVS(1326)*XX(147)-JVS(1476)*XX(150)-JVS(1590)&
             &*XX(152)-JVS(1734)*XX(154)-JVS(1921)*XX(157)
  XX(80) = XX(80)-JVS(998)*XX(134)-JVS(1475)*XX(150)-JVS(1733)*XX(154)-JVS(1920)*XX(157)-JVS(2007)*XX(158)
  XX(79) = XX(79)-JVS(395)*XX(81)-JVS(428)*XX(86)-JVS(536)*XX(99)-JVS(601)*XX(104)-JVS(677)*XX(109)-JVS(879)*XX(126)&
             &-JVS(1410)*XX(149)-JVS(1589)*XX(152)-JVS(1732)*XX(154)-JVS(1919)*XX(157)
  XX(78) = XX(78)-JVS(852)*XX(124)-JVS(973)*XX(133)-JVS(997)*XX(134)-JVS(1537)*XX(151)-JVS(1731)*XX(154)
  XX(77) = XX(77)-JVS(800)*XX(119)-JVS(835)*XX(122)-JVS(1267)*XX(144)-JVS(1325)*XX(147)-JVS(1730)*XX(154)-JVS(1918)&
             &*XX(157)-JVS(2006)*XX(158)
  XX(76) = XX(76)-JVS(1729)*XX(154)-JVS(1917)*XX(157)
  XX(75) = XX(75)-JVS(710)*XX(112)-JVS(945)*XX(131)-JVS(996)*XX(134)-JVS(1134)*XX(138)-JVS(1194)*XX(140)-JVS(1286)&
             &*XX(145)-JVS(1728)*XX(154)-JVS(1813)*XX(155)-JVS(1916)*XX(157)
  XX(74) = XX(74)-JVS(709)*XX(112)-JVS(944)*XX(131)-JVS(995)*XX(134)-JVS(1133)*XX(138)-JVS(1193)*XX(140)-JVS(1285)&
             &*XX(145)-JVS(1727)*XX(154)-JVS(1812)*XX(155)-JVS(1915)*XX(157)
  XX(73) = XX(73)-JVS(1151)*XX(139)-JVS(1371)*XX(148)-JVS(1474)*XX(150)-JVS(1726)*XX(154)-JVS(1914)*XX(157)
  XX(72) = XX(72)-JVS(455)*XX(89)-JVS(1370)*XX(148)-JVS(1588)*XX(152)-JVS(1725)*XX(154)-JVS(1913)*XX(157)
  XX(71) = XX(71)-JVS(335)*XX(73)-JVS(893)*XX(127)-JVS(943)*XX(131)-JVS(1078)*XX(136)-JVS(1150)*XX(139)-JVS(1473)&
             &*XX(150)-JVS(1724)*XX(154)-JVS(1912)*XX(157)
  XX(70) = XX(70)-JVS(892)*XX(127)-JVS(925)*XX(129)-JVS(994)*XX(134)-JVS(1077)*XX(136)-JVS(1369)*XX(148)-JVS(1536)&
             &*XX(151)-JVS(1723)*XX(154)-JVS(1911)*XX(157)
  XX(69) = XX(69)-JVS(708)*XX(112)-JVS(993)*XX(134)-JVS(1132)*XX(138)-JVS(1192)*XX(140)-JVS(1284)*XX(145)-JVS(1722)&
             &*XX(154)-JVS(1811)*XX(155)-JVS(1910)*XX(157)
  XX(68) = XX(68)-JVS(992)*XX(134)-JVS(1076)*XX(136)-JVS(1472)*XX(150)-JVS(1535)*XX(151)-JVS(1721)*XX(154)-JVS(1909)&
             &*XX(157)
  XX(67) = XX(67)-JVS(991)*XX(134)-JVS(1118)*XX(137)-JVS(1149)*XX(139)-JVS(1471)*XX(150)-JVS(1720)*XX(154)-JVS(1908)&
             &*XX(157)
  XX(66) = XX(66)-JVS(748)*XX(115)-JVS(1075)*XX(136)-JVS(1625)*XX(153)-JVS(1719)*XX(154)-JVS(1907)*XX(157)-JVS(2005)&
             &*XX(158)
  XX(65) = XX(65)-JVS(747)*XX(115)-JVS(1074)*XX(136)-JVS(1470)*XX(150)-JVS(1624)*XX(153)-JVS(1718)*XX(154)-JVS(1906)&
             &*XX(157)-JVS(2004)*XX(158)
  XX(64) = XX(64)-JVS(729)*XX(114)-JVS(990)*XX(134)-JVS(1073)*XX(136)-JVS(1534)*XX(151)-JVS(1717)*XX(154)
  XX(63) = XX(63)-JVS(378)*XX(79)-JVS(394)*XX(81)-JVS(427)*XX(86)-JVS(535)*XX(99)-JVS(600)*XX(104)-JVS(746)*XX(115)&
             &-JVS(878)*XX(126)-JVS(1409)*XX(149)-JVS(1716)*XX(154)-JVS(1905)*XX(157)
  XX(62) = XX(62)-JVS(377)*XX(79)-JVS(393)*XX(81)-JVS(403)*XX(82)-JVS(426)*XX(86)-JVS(534)*XX(99)-JVS(599)*XX(104)&
             &-JVS(877)*XX(126)-JVS(1408)*XX(149)-JVS(1715)*XX(154)-JVS(1904)*XX(157)
  XX(61) = XX(61)-JVS(301)*XX(66)-JVS(745)*XX(115)-JVS(891)*XX(127)-JVS(989)*XX(134)-JVS(1072)*XX(136)-JVS(1148)*XX(139)&
             &-JVS(1469)*XX(150)-JVS(1533)*XX(151)-JVS(1714)*XX(154)-JVS(1903)*XX(157)
  XX(60) = XX(60)-JVS(1205)*XX(141)-JVS(1324)*XX(147)-JVS(1713)*XX(154)-JVS(1902)*XX(157)
  XX(59) = XX(59)-JVS(789)*XX(118)-JVS(807)*XX(120)-JVS(1323)*XX(147)-JVS(1712)*XX(154)-JVS(1901)*XX(157)-JVS(2003)&
             &*XX(158)
  XX(58) = XX(58)-JVS(778)*XX(117)-JVS(988)*XX(134)-JVS(1147)*XX(139)-JVS(1225)*XX(142)-JVS(1711)*XX(154)-JVS(1900)&
             &*XX(157)
  XX(57) = XX(57)-JVS(1710)*XX(154)-JVS(1899)*XX(157)
  XX(56) = XX(56)-JVS(1407)*XX(149)-JVS(1587)*XX(152)-JVS(1623)*XX(153)-JVS(2002)*XX(158)
  XX(55) = XX(55)-JVS(955)*XX(132)-JVS(1224)*XX(142)-JVS(1709)*XX(154)-JVS(1898)*XX(157)
  XX(54) = XX(54)-JVS(1406)*XX(149)-JVS(1532)*XX(151)-JVS(1832)*XX(156)-JVS(2001)*XX(158)
  XX(53) = XX(53)-JVS(1223)*XX(142)-JVS(1708)*XX(154)-JVS(1897)*XX(157)
  XX(52) = XX(52)-JVS(425)*XX(86)-JVS(666)*XX(108)-JVS(1707)*XX(154)
  XX(51) = XX(51)-JVS(523)*XX(98)-JVS(598)*XX(104)-JVS(665)*XX(108)-JVS(1405)*XX(149)-JVS(1468)*XX(150)-JVS(1706)&
             &*XX(154)-JVS(1896)*XX(157)
  XX(50) = XX(50)-JVS(864)*XX(125)-JVS(1222)*XX(142)-JVS(1705)*XX(154)-JVS(1895)*XX(157)
  XX(49) = XX(49)-JVS(1404)*XX(149)-JVS(1704)*XX(154)-JVS(1894)*XX(157)-JVS(2000)*XX(158)
  XX(48) = XX(48)-JVS(227)*XX(52)-JVS(522)*XX(98)-JVS(1703)*XX(154)-JVS(1999)*XX(158)
  XX(47) = XX(47)-JVS(1702)*XX(154)-JVS(1893)*XX(157)
  XX(46) = XX(46)-JVS(439)*XX(87)-JVS(720)*XX(113)-JVS(1701)*XX(154)-JVS(1892)*XX(157)
  XX(45) = XX(45)-JVS(649)*XX(106)-JVS(1322)*XX(147)-JVS(1700)*XX(154)-JVS(1891)*XX(157)
  XX(44) = XX(44)-JVS(987)*XX(134)-JVS(1699)*XX(154)-JVS(1831)*XX(156)-JVS(1890)*XX(157)
  XX(43) = XX(43)-JVS(223)*XX(51)-JVS(284)*XX(62)-JVS(392)*XX(81)-JVS(402)*XX(82)-JVS(533)*XX(99)-JVS(744)*XX(115)&
             &-JVS(1071)*XX(136)-JVS(1467)*XX(150)-JVS(1698)*XX(154)-JVS(1889)*XX(157)
  XX(42) = XX(42)-JVS(222)*XX(51)-JVS(283)*XX(62)-JVS(391)*XX(81)-JVS(401)*XX(82)-JVS(532)*XX(99)-JVS(743)*XX(115)&
             &-JVS(1070)*XX(136)-JVS(1466)*XX(150)-JVS(1697)*XX(154)-JVS(1888)*XX(157)
  XX(41) = XX(41)-JVS(986)*XX(134)-JVS(1403)*XX(149)-JVS(1830)*XX(156)-JVS(1887)*XX(157)-JVS(1998)*XX(158)
  XX(40) = XX(40)-JVS(503)*XX(95)-JVS(1997)*XX(158)
  XX(39) = XX(39)-JVS(521)*XX(98)-JVS(664)*XX(108)-JVS(1696)*XX(154)
  XX(38) = XX(38)-JVS(1531)*XX(151)-JVS(1695)*XX(154)-JVS(1829)*XX(156)
  XX(37) = XX(37)-JVS(1622)*XX(153)-JVS(1694)*XX(154)-JVS(1996)*XX(158)
  XX(36) = XX(36)-JVS(597)*XX(104)-JVS(863)*XX(125)-JVS(1402)*XX(149)-JVS(1693)*XX(154)
  XX(35) = XX(35)-JVS(596)*XX(104)-JVS(1204)*XX(141)-JVS(1401)*XX(149)-JVS(1692)*XX(154)
  XX(34) = XX(34)-JVS(707)*XX(112)-JVS(1691)*XX(154)
  XX(33) = XX(33)-JVS(706)*XX(112)-JVS(1690)*XX(154)
  XX(32) = XX(32)-JVS(288)*XX(63)-JVS(390)*XX(81)-JVS(531)*XX(99)-JVS(742)*XX(115)-JVS(1465)*XX(150)-JVS(1689)*XX(154)&
             &-JVS(1886)*XX(157)
  XX(31) = XX(31)-JVS(1688)*XX(154)-JVS(1828)*XX(156)
  XX(30) = XX(30)-JVS(705)*XX(112)-JVS(1687)*XX(154)
  XX(29) = XX(29)-JVS(954)*XX(132)-JVS(1995)*XX(158)
  XX(28) = XX(28)-JVS(496)*XX(94)-JVS(1994)*XX(158)
  XX(27) = XX(27)-JVS(1400)*XX(149)-JVS(1993)*XX(158)
  XX(26) = XX(26)-JVS(741)*XX(115)-JVS(1069)*XX(136)-JVS(1686)*XX(154)
  XX(25) = XX(25)-JVS(648)*XX(106)-JVS(719)*XX(113)-JVS(1685)*XX(154)
  XX(24) = XX(24)-JVS(250)*XX(56)-JVS(1684)*XX(154)
  XX(23) = XX(23)
  XX(22) = XX(22)
  XX(21) = XX(21)
  XX(20) = XX(20)
  XX(19) = XX(19)
  XX(18) = XX(18)
  XX(17) = XX(17)
  XX(16) = XX(16)
  XX(15) = XX(15)
  XX(14) = XX(14)
  XX(13) = XX(13)
  XX(12) = XX(12)
  XX(11) = XX(11)
  XX(10) = XX(10)
  XX(9) = XX(9)
  XX(8) = XX(8)
  XX(7) = XX(7)
  XX(6) = XX(6)
  XX(5) = XX(5)
  XX(4) = XX(4)
  XX(3) = XX(3)
  XX(2) = XX(2)
  XX(1) = XX(1)
      
END SUBROUTINE KppSolveTR

! End of KppSolveTR function
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! BLAS_UTIL - BLAS-LIKE utility functions
!   Arguments :
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

!--------------------------------------------------------------
!
! BLAS/LAPACK-like subroutines used by the integration algorithms
! It is recommended to replace them by calls to the optimized
!      BLAS/LAPACK library for your machine
!
!  (C) Adrian Sandu, Aug. 2004
!      Virginia Polytechnic Institute and State University
!--------------------------------------------------------------


!--------------------------------------------------------------
      SUBROUTINE WCOPY(N,X,incX,Y,incY)
!--------------------------------------------------------------
!     copies a vector, x, to a vector, y:  y <- x
!     only for incX=incY=1
!     after BLAS
!     replace this by the function from the optimized BLAS implementation:
!         CALL  SCOPY(N,X,1,Y,1)   or   CALL  DCOPY(N,X,1,Y,1)
!--------------------------------------------------------------
!     USE aromatics_kpp_Precision
      
      INTEGER  :: i,incX,incY,M,MP1,N
      REAL(kind=dp) :: X(N),Y(N)

      IF (N.LE.0) RETURN

      M = MOD(N,8)
      IF( M .NE. 0 ) THEN
        DO i = 1,M
          Y(i) = X(i)
        END DO
        IF( N .LT. 8 ) RETURN
      END IF    
      MP1 = M+1
      DO i = MP1,N,8
        Y(i) = X(i)
        Y(i + 1) = X(i + 1)
        Y(i + 2) = X(i + 2)
        Y(i + 3) = X(i + 3)
        Y(i + 4) = X(i + 4)
        Y(i + 5) = X(i + 5)
        Y(i + 6) = X(i + 6)
        Y(i + 7) = X(i + 7)
      END DO

      END SUBROUTINE WCOPY


!--------------------------------------------------------------
      SUBROUTINE WAXPY(N,Alpha,X,incX,Y,incY)
!--------------------------------------------------------------
!     constant times a vector plus a vector: y <- y + Alpha*x
!     only for incX=incY=1
!     after BLAS
!     replace this by the function from the optimized BLAS implementation:
!         CALL SAXPY(N,Alpha,X,1,Y,1) or  CALL DAXPY(N,Alpha,X,1,Y,1)
!--------------------------------------------------------------

      INTEGER  :: i,incX,incY,M,MP1,N
      REAL(kind=dp) :: X(N),Y(N),Alpha
      REAL(kind=dp), PARAMETER :: ZERO = 0.0_dp

      IF (Alpha .EQ. ZERO) RETURN
      IF (N .LE. 0) RETURN

      M = MOD(N,4)
      IF( M .NE. 0 ) THEN
        DO i = 1,M
          Y(i) = Y(i) + Alpha*X(i)
        END DO
        IF( N .LT. 4 ) RETURN
      END IF
      MP1 = M + 1
      DO i = MP1,N,4
        Y(i) = Y(i) + Alpha*X(i)
        Y(i + 1) = Y(i + 1) + Alpha*X(i + 1)
        Y(i + 2) = Y(i + 2) + Alpha*X(i + 2)
        Y(i + 3) = Y(i + 3) + Alpha*X(i + 3)
      END DO
      
      END SUBROUTINE WAXPY



!--------------------------------------------------------------
      SUBROUTINE WSCAL(N,Alpha,X,incX)
!--------------------------------------------------------------
!     constant times a vector: x(1:N) <- Alpha*x(1:N) 
!     only for incX=incY=1
!     after BLAS
!     replace this by the function from the optimized BLAS implementation:
!         CALL SSCAL(N,Alpha,X,1) or  CALL DSCAL(N,Alpha,X,1)
!--------------------------------------------------------------

      INTEGER  :: i,incX,M,MP1,N
      REAL(kind=dp)  :: X(N),Alpha
      REAL(kind=dp), PARAMETER  :: ZERO=0.0_dp, ONE=1.0_dp

      IF (Alpha .EQ. ONE) RETURN
      IF (N .LE. 0) RETURN

      M = MOD(N,5)
      IF( M .NE. 0 ) THEN
        IF (Alpha .EQ. (-ONE)) THEN
          DO i = 1,M
            X(i) = -X(i)
          END DO
        ELSEIF (Alpha .EQ. ZERO) THEN
          DO i = 1,M
            X(i) = ZERO
          END DO
        ELSE
          DO i = 1,M
            X(i) = Alpha*X(i)
          END DO
        END IF
        IF( N .LT. 5 ) RETURN
      END IF
      MP1 = M + 1
      IF (Alpha .EQ. (-ONE)) THEN
        DO i = MP1,N,5
          X(i)     = -X(i)
          X(i + 1) = -X(i + 1)
          X(i + 2) = -X(i + 2)
          X(i + 3) = -X(i + 3)
          X(i + 4) = -X(i + 4)
        END DO
      ELSEIF (Alpha .EQ. ZERO) THEN
        DO i = MP1,N,5
          X(i)     = ZERO
          X(i + 1) = ZERO
          X(i + 2) = ZERO
          X(i + 3) = ZERO
          X(i + 4) = ZERO
        END DO
      ELSE
        DO i = MP1,N,5
          X(i)     = Alpha*X(i)
          X(i + 1) = Alpha*X(i + 1)
          X(i + 2) = Alpha*X(i + 2)
          X(i + 3) = Alpha*X(i + 3)
          X(i + 4) = Alpha*X(i + 4)
        END DO
      END IF

      END SUBROUTINE WSCAL

!--------------------------------------------------------------
      REAL(kind=dp) FUNCTION WLAMCH( C )
!--------------------------------------------------------------
!     returns epsilon machine
!     after LAPACK
!     replace this by the function from the optimized LAPACK implementation:
!          CALL SLAMCH('E') or CALL DLAMCH('E')
!--------------------------------------------------------------
!      USE aromatics_kpp_Precision

      CHARACTER ::  C
      INTEGER    :: i
      REAL(kind=dp), SAVE  ::  Eps
      REAL(kind=dp)  ::  Suma
      REAL(kind=dp), PARAMETER  ::  ONE=1.0_dp, HALF=0.5_dp
      LOGICAL, SAVE   ::  First=.TRUE.
      
      IF (First) THEN
        First = .FALSE.
        Eps = HALF**(16)
        DO i = 17, 80
          Eps = Eps*HALF
          CALL WLAMCH_ADD(ONE,Eps,Suma)
          IF (Suma.LE.ONE) GOTO 10
        END DO
        PRINT*,'ERROR IN WLAMCH. EPS < ',Eps
        RETURN
10      Eps = Eps*2
        i = i-1      
      END IF

      WLAMCH = Eps

      END FUNCTION WLAMCH
     
      SUBROUTINE WLAMCH_ADD( A, B, Suma )
!      USE aromatics_kpp_Precision
      
      REAL(kind=dp) A, B, Suma
      Suma = A + B

      END SUBROUTINE WLAMCH_ADD
!--------------------------------------------------------------


!--------------------------------------------------------------
      SUBROUTINE SET2ZERO(N,Y)
!--------------------------------------------------------------
!     copies zeros into the vector y:  y <- 0
!     after BLAS
!--------------------------------------------------------------
      
      INTEGER ::  i,M,MP1,N
      REAL(kind=dp) ::  Y(N)
      REAL(kind=dp), PARAMETER :: ZERO = 0.0d0

      IF (N.LE.0) RETURN

      M = MOD(N,8)
      IF( M .NE. 0 ) THEN
        DO i = 1,M
          Y(i) = ZERO
        END DO
        IF( N .LT. 8 ) RETURN
      END IF    
      MP1 = M+1
      DO i = MP1,N,8
        Y(i)     = ZERO
        Y(i + 1) = ZERO
        Y(i + 2) = ZERO
        Y(i + 3) = ZERO
        Y(i + 4) = ZERO
        Y(i + 5) = ZERO
        Y(i + 6) = ZERO
        Y(i + 7) = ZERO
      END DO

      END SUBROUTINE SET2ZERO


!--------------------------------------------------------------
      REAL(kind=dp) FUNCTION WDOT (N, DX, incX, DY, incY) 
!--------------------------------------------------------------
!     dot produce: wdot = x(1:N)*y(1:N) 
!     only for incX=incY=1
!     after BLAS
!     replace this by the function from the optimized BLAS implementation:
!         CALL SDOT(N,X,1,Y,1) or  CALL DDOT(N,X,1,Y,1)
!--------------------------------------------------------------
!      USE messy_mecca_kpp_Precision
!--------------------------------------------------------------
      IMPLICIT NONE
      INTEGER :: N, incX, incY
      REAL(kind=dp) :: DX(N), DY(N) 

      INTEGER :: i, IX, IY, M, MP1, NS
                                 
      WDOT = 0.0D0 
      IF (N .LE. 0) RETURN 
      IF (incX .EQ. incY) IF (incX-1) 5,20,60 
!                                                                       
!     Code for unequal or nonpositive increments.                       
!                                                                       
    5 IX = 1 
      IY = 1 
      IF (incX .LT. 0) IX = (-N+1)*incX + 1 
      IF (incY .LT. 0) IY = (-N+1)*incY + 1 
      DO i = 1,N 
        WDOT = WDOT + DX(IX)*DY(IY) 
        IX = IX + incX 
        IY = IY + incY 
      END DO 
      RETURN 
!                                                                       
!     Code for both increments equal to 1.                              
!                                                                       
!     Clean-up loop so remaining vector length is a multiple of 5.      
!                                                                       
   20 M = MOD(N,5) 
      IF (M .EQ. 0) GO TO 40 
      DO i = 1,M 
         WDOT = WDOT + DX(i)*DY(i) 
      END DO 
      IF (N .LT. 5) RETURN 
   40 MP1 = M + 1 
      DO i = MP1,N,5 
          WDOT = WDOT + DX(i)*DY(i) + DX(i+1)*DY(i+1) + DX(i+2)*DY(i+2) +  &
                   DX(i+3)*DY(i+3) + DX(i+4)*DY(i+4)                   
      END DO 
      RETURN 
!                                                                       
!     Code for equal, positive, non-unit increments.                    
!                                                                       
   60 NS = N*incX 
      DO i = 1,NS,incX 
        WDOT = WDOT + DX(i)*DY(i) 
      END DO 

      END FUNCTION WDOT                                          


!--------------------------------------------------------------
      SUBROUTINE WADD(N,X,Y,Z)
!--------------------------------------------------------------
!     adds two vectors: z <- x + y
!     BLAS - like
!--------------------------------------------------------------
!     USE aromatics_kpp_Precision
      
      INTEGER :: i, M, MP1, N
      REAL(kind=dp) :: X(N),Y(N),Z(N)

      IF (N.LE.0) RETURN

      M = MOD(N,5)
      IF( M /= 0 ) THEN
         DO i = 1,M
            Z(i) = X(i) + Y(i)
         END DO
         IF( N < 5 ) RETURN
      END IF    
      MP1 = M+1
      DO i = MP1,N,5
         Z(i)     = X(i)     + Y(i)
         Z(i + 1) = X(i + 1) + Y(i + 1)
         Z(i + 2) = X(i + 2) + Y(i + 2)
         Z(i + 3) = X(i + 3) + Y(i + 3)
         Z(i + 4) = X(i + 4) + Y(i + 4)
      END DO

      END SUBROUTINE WADD
      
      
      
!--------------------------------------------------------------
      SUBROUTINE WGEFA(N,A,Ipvt,info)
!--------------------------------------------------------------
!     WGEFA FACTORS THE MATRIX A (N,N) BY
!           GAUSS ELIMINATION WITH PARTIAL PIVOTING
!     LINPACK - LIKE 
!--------------------------------------------------------------
!
      INTEGER       :: N,Ipvt(N),info
      REAL(kind=dp) :: A(N,N)
      REAL(kind=dp) :: t, dmax, da
      INTEGER       :: j,k,l
      REAL(kind=dp), PARAMETER :: ZERO = 0.0, ONE = 1.0

      info = 0

size: IF (n > 1) THEN
      
col:  DO k = 1, n-1

!        find l = pivot index
!        l = idamax(n-k+1,A(k,k),1) + k - 1
         l = k; dmax = abs(A(k,k))
         DO j = k+1,n
            da = ABS(A(j,k))
            IF (da > dmax) THEN
              l = j; dmax = da
            END IF
         END DO
         Ipvt(k) = l

!        zero pivot implies this column already triangularized
         IF (ABS(A(l,k)) < TINY(ZERO)) THEN
            info = k
            return
         ELSE   
            IF (l /= k) THEN
               t = A(l,k); A(l,k) = A(k,k); A(k,k) = t
            END IF
            t = -ONE/A(k,k)
            CALL WSCAL(n-k,t,A(k+1,k),1)
            DO j = k+1, n
               t = A(l,j)
               IF (l /= k) THEN
                  A(l,j) = A(k,j); A(k,j) = t
               END IF
               CALL WAXPY(n-k,t,A(k+1,k),1,A(k+1,j),1)
            END DO         
         END IF
         
       END DO col
       
      END IF size
      
      Ipvt(N) = N
      IF (ABS(A(N,N)) == ZERO) info = N
      
      END SUBROUTINE WGEFA


!--------------------------------------------------------------
      SUBROUTINE WGESL(Trans,N,A,Ipvt,b)
!--------------------------------------------------------------
!     WGESL solves the system
!     a * x = b  or  trans(a) * x = b
!     using the factors computed by WGEFA.
!
!     Trans      = 'N'   to solve  A*x = b ,
!                = 'T'   to solve  transpose(A)*x = b
!     LINPACK - LIKE 
!--------------------------------------------------------------

      INTEGER       :: N,Ipvt(N)
      CHARACTER     :: trans
      REAL(kind=dp) :: A(N,N),b(N)
      REAL(kind=dp) :: t
      INTEGER       :: k,kb,l

      
      SELECT CASE (Trans)

      CASE ('n','N')  !  Solve  A * x = b

!        first solve  L*y = b
         IF (n >= 2) THEN
          DO k = 1, n-1
            l = Ipvt(k)
            t = b(l)
            IF (l /= k) THEN
               b(l) = b(k)
               b(k) = t
            END IF
            CALL WAXPY(n-k,t,a(k+1,k),1,b(k+1),1)
          END DO
         END IF
!        now solve  U*x = y
         DO kb = 1, n
            k = n + 1 - kb
            b(k) = b(k)/a(k,k)
            t = -b(k)
            CALL WAXPY(k-1,t,a(1,k),1,b(1),1)
         END DO
      
      CASE ('t','T')  !  Solve transpose(A) * x = b

!        first solve  trans(U)*y = b
         DO k = 1, n
            t = WDOT(k-1,a(1,k),1,b(1),1)
            b(k) = (b(k) - t)/a(k,k)
         END DO
!        now solve trans(L)*x = y
         IF (n >= 2) THEN
         DO kb = 1, n-1
            k = n - kb
            b(k) = b(k) + WDOT(n-k,a(k+1,k),1,b(k+1),1)
            l = Ipvt(k)
            IF (l /= k) THEN
               t = b(l); b(l) = b(k); b(k) = t
            END IF
         END DO
         END IF
   
      END SELECT

      END SUBROUTINE WGESL
! End of BLAS_UTIL function
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



END MODULE aromatics_kpp_LinearAlgebra

